Introduction

Freshly distilled young spirits contain hydrogen sulfides, thiols, thioethers, propanaldehydes, and butenaldehyde. As these compounds usually taste piquant and are unacceptable by consumers, hence, a long ageing period is often required to eliminate these chemicals before sale. For most spirits, ageing process normally takes from 3~5 months to 3~5 years. After aged, they are blended and mixed to gain desired market quality (Ouyang and Chuang 1999; Ouyang et al. 1999; Ouyang and Wu 1999).

Maturation technology may involve: (1) the high-energy maturity methods, (2) the low-energy maturity methods, and (3) a combination of (1) and (2). High energy maturity methods consist of various technologies including UV-irradiation, cobalt (60) irradiation, LASER-irradiation, high frequency treatment, and ultrasonication, whereas low energy maturity technology involves mechanical stirring, vigorous shaking, microwave treatment, heating, and infrared (IR) irradiation (Ouyang and Chuang 1999). Earlier, sweet-fortified wines and spirits were traditionally aged in used (20–80 years old) oak tree barrels to facilitate the diffusion of oxygen. These barrels, often partially filled, were usually stocked in cellars held at desired temperatures (Cutzach et al. 2000). Whereby, oxygen had been considered to play a major role in a variety of chemical reactions occurring during ageing (Cutzach et al. 1999, 2000).

Conventionally, biological ageing is used to be carried out by various types of yeasts such as Saccharomyces cerevisiae (Martínez et al. 1995), yet such ageing processes obviously are feasible only for wines with moderate ethanolic concentration (15.5%) and not applicable to those having an alcoholic content >35%. The compositional changes occurring before, during, and after the fermentation process could greatly influence the color and aroma of finished wines (Silva Ferreira et al. 2003). Recent works presented significant information about the chemical compounds associated with “oxidative degradation” of white wines (Escudero et al. 2000a, b, 2002; Ferreira et al. 1997; Silva Ferreira et al. 2002). Oxidation phenomena are generally considered to be favorable and even indispensable for the desired aroma development in sweet-fortified wines (Cutzach et al. 1999, 2000). In reality, the odorant transformation depends on oxygen content entrapped in the wines and the overall extent of oxidation. Substances most characteristic of an accelerated maturity of sweet-fortified red wines are 5-(hyrdoxy-methyl) furfural, acetylformoin, and hydroxymaltol. Their formation is affected by oxidation, while dihydromaltol can only be formed without an oxidative environment (Cutzach et al. 1999). With an aim to shorten the ageing period and enhance the sensory quality of sorghum spirits, we carried out this study using nanogold particles to catalyze the maturation of young sorghum spirits with using UV radiation. The kinetic analysis established that the overall control parameter is the dissolved oxygen (DO). In the presence of which, primary hydroxyl free radicals are generated and used to accelerate a serial chain reaction for spirit maturation process. Such a technology was further evaluated and identified to be an efficient cost-reducing process.

Materials and Methods

Kinetic Analysis

General Photocatalyzed Reaction Mechanism

General photocatalytic reaction mechanisms had been proposed to describe its kinetic aspect (Izumi et al. 1980; Turchi and Ollis 1990; Peng et al. 1997). Typically, a free radical chain reaction may proceed through steps of “initiation”, “propagation”, and finally end up with “termination”.

Initiation

$${\text{Cat}} + {\text{h}}\nu {\left( {{\text{photoenergy}}} \right)} \to {\text{e}}^{ - } + {\text{Cat}} - {\text{h}}^{ + } $$
(1)
$${\text{Cat - h}}^{ + } + {\text{H}}_{2} {\text{O}} \to \cdot {\text{OH}} + {\text{Cat - h}}^{ + } - {\text{H}} \cdot $$
(2)
$${\text{Cat - h}}^{ + } - {\text{H}} \cdot \to {\text{H}}^{ + } + {\text{Cat}}$$
(3)
$${\text{O}}_{2} + {\text{e}}^{ - } \to \cdot {\text{O}}^{ - }_{2} $$
(4)

Where Cat is the nanogold catalysts having a particle size ranging from 80~120 nm, which on exposure to a light source of an approximately 245 nm, can eject electrons e from its surface with a simultaneous formation of a “hole, Cat-h+” (Eq. 1). Both the e and Cat-h+ are very reactive chemical species. The latter may readily produce hydroxyl free radicals ·OH on reaction with water molecules (Eq. 2) to form Cat-h+–H·, which instantaneously, splits into a hydronium ion H+ and a native intact Cat (Eq. 3). Alternatively, the electrons e- released may react with oxygen molecules O2 to yield superoxide anions \( \cdot {\text{O}}_2^ - \) (Eq. 4). The overall reaction at the “initiation” stage (Eqs. 1~ 4) is net formation of strong oxidative agents ·OH and \( \cdot {\text{O}}_2^ - \). In the second stage, generally called “propagation” (not shown), the extremely active oxidizing species superoxide anions \( \cdot {\text{O}}_2^ - \) (Eq. 4) are capable to induce a series of chain reactions resulting in simultaneous formation of strong secondary oxidants –HO2, \( \cdot {\text{HO}}_2^ - \) and H2O2, provided sufficient supply of oxygen, and high-energy photons are available. Otherwise, the free radical reaction finally would be ceased with the “termination” step:

$$ \cdot {\text{OH}} + \cdot {\text{OH}} \to {\text{H}}_2 {\text{O}}_2 $$
(5)
$$ \cdot {\text{OH}} + {\text{H}}^ + + {\text{e}}^ - \to {\text{H}}_2 {\text{O}}$$
(6)

As often cited, free hydroxyl radicals are reported to be the most reactive oxidative species (Majlat et al. 1974; Heller and Miline 1978a, b; TNO 1981); thus, the whole sequence of nanogold-catalyzed (Eqs. 1~6) oxidative reactions simply can be simplified as

$${\text{Cat}} + {\text{Photoenergy}} + 17{\text{ H}}_{2} {\text{O}} + {17} \mathord{\left/ {\vphantom {{17} 2}} \right. \kern-\nulldelimiterspace} 2{\text{ O}}_{2} {\mathop \to \limits^{k_{1} } }34{\text{ }} \cdot {\text{OH}} + {\text{Cat}}$$
(7)

Mass Balance from the Most Probable Reactions Inside a Reactor for Spirit Ageing

In a reactor process, the high alcoholic content (54%) predominates, while chemical reactions can only proceed with those thermodynamically most favorable intermediate species having the least steric hindrance effect. We arrived at the most probable reactions to demonstrate the spirit maturation by partially referring to the data revealed by GC/MS.

$${\text{2CH}}_{3} {\text{CH}}_{2} {\text{OH}} + 6 \cdot {\text{OH}}{\mathop \to \limits^{k_{2} } }{\text{2CH}}_{3} {\text{CO}} \cdot + 6{\text{H}}_{2} {\text{O}}$$
(8)
$${\text{CH}}_{3} {\text{CH}}_{2} {\text{OH}} + \cdot {\text{OH}}{\mathop \to \limits^{k_{3} } }{\text{CH}}_{3} {\text{CH}}_{2} {\text{O}} \cdot + {\text{H}}_{2} {\text{O}}$$
(9)
$${\text{CH}}_{3} {\text{CO}} \cdot + {\text{CH}}_{3} {\text{CH}}_{2} {\text{O}} \cdot {\mathop \to \limits^{k_{4} } }{\text{CH}}_{3} {\text{COOCH}}_{2} {\text{CH}}_{3} $$
(10)
$${\text{CH}}_{3} {\text{CO}} \cdot + {\text{OH}}{\mathop \to \limits^{k_{5} } }{\text{CH}}_{3} {\text{COOH}}$$
(11)
$${\text{CH}}_{3} {\text{COOCH}}_{2} {\text{CH}}_{3} + 18{\text{ }} \cdot {\text{OH}}{\mathop \to \limits^{k_{6} } }13{\text{ H}}_{2} {\text{O}} + 4{\text{CO}}_{2} \uparrow $$
(12)
$${\text{CH}}_{3} {\text{COOH}} + 8 \cdot {\text{OH}}{\mathop \to \limits^{k_{7} } }6{\text{ H}}_{2} {\text{O}} + 2{\text{CO}}_{2} \uparrow $$
(13)

Equations 12 and 13 are commonly called “mineralization”. The flow chart to demonstrate the simplified overall equations is illustrated in Fig. 1.

Fig. 1
figure 1

Simplified overall reaction scheme for maturation process of young Kaoliang spirit by nanogold photocatalyzed reaction

Parallel Consecutive Reaction Kinetics in Nature

Practically, the processors are interested in major reactions that are helpful in upgrading the spirit quality, i.e., to increase the content of esters such as ethyl acetate with some trace amount of carboxylic acids such as acetic acid. Obviously, the mineralization reactions (Equations 12 and 13) are unwanted, yet inevitable. As can be seen, Fig. 1 is parallel consecutive reaction kinetics in nature, i.e., formations of acetic acid and ethyl acetate simultaneously occur.

Steady State Assumption

Following the reaction flow chart (Fig. 1), formation of hydroxyl free radicals resulting from a nanogold photocatalyzed reaction (Eq. 7) can be expressed as

$${{\operatorname{d} \left[ { \cdot {\text{OH}}} \right]} \mathord{\left/ {\vphantom {{\operatorname{d} \left[ { \cdot {\text{OH}}} \right]} {\operatorname{d} t}}} \right. \kern-\nulldelimiterspace} {\operatorname{d} t}} = k_1 \left[ {{\text{cat}}} \right]\left[ {{\text{h}}\nu } \right]\left[ {{\text{H}}_2 {\text{O}}} \right]\left[ {{\text{O}}_2 } \right]$$
(14)

where [cat] is the effective catalyst surface concentration, [hν] is the photoenergy impinging upon the nanocatalyst gold surface. The consumption rate of hydroxyl free radicals can be obtained from the summation of Eqs. 8, 9, and 1113. In reality, the reactor virtually contained a vast amount of water compared to that of dissolved oxygen; hence, the term [H2O] in Eq. 14 can be considered as a constant. Furthermore, because of highly exposed effective surface area of nanogold, the energy (10 W in this case) impinging on the surface of gold powder also technically can be considered as a constant, provided the system is stirred to facilitate complete suspension of nanogold particles. Consequently, both the [energy] and the [Cat] terms in Eq. 14 can also be considered as constants. Thus, Eq. 14 reduces to

$$\operatorname{d} {{\left[ { \cdot {\text{OH}}} \right]} \mathord{\left/ {\vphantom {{\left[ { \cdot {\text{OH}}} \right]} {{\text{d}}t}}} \right. \kern-\nulldelimiterspace} {{\text{d}}t}} = k_1 \;\prime \left[ {{\text{O}}_2 } \right]$$
(15)

where k 1′=k 1[cat][hν][H2O] and is called the pseudo-first-order reaction coefficient for conversion of O2 into hydroxyl free radicals ·OH by such a photocatalyzed reaction.

The consumption rate of hydroxyl free radicals is

$${{ - \operatorname{d} \left[ { \cdot {\text{OH}}} \right]} \mathord{\left/ {\vphantom {{ - \operatorname{d} \left[ { \cdot {\text{OH}}} \right]} {\operatorname{d} t}}} \right. \kern-\nulldelimiterspace} {\operatorname{d} t}} = \left[ { \cdot {\text{OH}}} \right]\left\{ {k_2 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right] + k_3 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right] + k_5 \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right] + k_6 \left[ {{\text{CH}}_3 {\text{COOCH}}_2 {\text{CH}}_3 } \right] + k_7 \left[ {{\text{CH}}_3 {\text{COOH}}} \right]} \right\}$$
(16)

At steady state, Eq. 15 = Eq. 16, which leads to

$$k_1 \;\prime \left[ {{\text{O}}_2 } \right] = \left[ { \cdot {\text{OH}}} \right]\left\{ {k_2 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right] + k_3 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right] + k_5 \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right] + k_6 \left[ {{\text{CH}}_3 {\text{COOCH}}_2 {\text{CH}}_3 } \right] + k_7 \left[ {{\text{CH}}_3 {\text{COOH}}} \right]} \right\}$$
(17)

Rearrangement of Eq. 17 gives the concentration of [·OH] at steady state

$$\left[ { \cdot {\text{OH}}} \right] = {{\left\{ {k_1 {\text{ }}\prime \left[ {{\text{O}}_2 } \right]} \right\}} \mathord{\left/ {\vphantom {{\left\{ {k_1 {\text{ }}\prime \left[ {{\text{O}}_2 } \right]} \right\}} {\left\{ {k_2 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right] + k_3 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right] + k_5 \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right] + k_6 \left[ {{\text{CH}}_3 {\text{COOCH}}_2 {\text{CH}}_3 } \right] + k_7 \left[ {{\text{CH}}_3 {\text{COOH}}} \right]} \right\}}}} \right. \kern-\nulldelimiterspace} {\left\{ {k_2 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right] + k_3 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right] + k_5 \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right] + k_6 \left[ {{\text{CH}}_3 {\text{COOCH}}_2 {\text{CH}}_3 } \right] + k_7 \left[ {{\text{CH}}_3 {\text{COOH}}} \right]} \right\}}}$$
(18)

The mass balance for ethoxy free radicals involves Eqs. 9 and 10. Its formation rate from Eq. 9 is

$${{\operatorname{d} \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right]} \mathord{\left/ {\vphantom {{\operatorname{d} \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right]} {\operatorname{d} t}}} \right. \kern-\nulldelimiterspace} {\operatorname{d} t}} = k_3 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]{\text{ }}\left[ { \cdot {\text{OH}}} \right]$$
(19)

and its disappearance rate (Eq. 10) is

$${{ - \operatorname{d} \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right]} \mathord{\left/ {\vphantom {{ - \operatorname{d} \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right]} {\operatorname{d} t}}} \right. \kern-\nulldelimiterspace} {\operatorname{d} t}} = k_4 \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right]{\text{ }}\left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right]$$
(20)

Combination of Eqs. 19 and 20 gives the net formation rate of ethoxy free radical, and at steady state

$$k_3 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]{\text{ }}\left[ { \cdot {\text{OH}}} \right] = k_4 \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right]{\text{ }}\left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right]$$
(21)

and

$$\left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right] = {{\left\{ {k_3 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]{\text{ }}\left[ { \cdot {\text{OH}}} \right]} \right\}} \mathord{\left/ {\vphantom {{\left\{ {k_3 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]{\text{ }}\left[ { \cdot {\text{OH}}} \right]} \right\}} {k_4 \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right]}}} \right. \kern-\nulldelimiterspace} {k_4 \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right]}}$$
(22)

Alternatively, Eq. 8 gives the formation rate of acetoxy free radical as:

$${{\operatorname{d} \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right]} \mathord{\left/ {\vphantom {{\operatorname{d} \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right]} {\operatorname{d} t}}} \right. \kern-\nulldelimiterspace} {\operatorname{d} t}} = k_2 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]{\text{ }}\left[ { \cdot {\text{OH}}} \right]$$
(23)

The elimination rate of acetoxy free radical can be calculated from the sum of Eqs. 10 and 11,

$${{ - d\left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right]} \mathord{\left/ {\vphantom {{ - d\left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right]} {\operatorname{d} t}}} \right. \kern-\nulldelimiterspace} {\operatorname{d} t}} = \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right]\left\{ {k_4 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right] + k_5 \left[ { \cdot {\text{OH}}} \right]} \right\}$$
(24)

and at steady state with Eq. 23=Eq. 24, we have

$$k_2 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]{\text{ }}\left[ { \cdot {\text{OH}}} \right] = \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right]\left\{ {k_4 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right] + k_5 \left[ { \cdot {\text{OH}}} \right]} \right\}$$
(25)

On rearrangement of Eq. 25, we have the steady state concentration of acetoxy free radical

$$\left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right] = {{\left\{ {k_2 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]{\text{ }}\left[ { \cdot {\text{OH}}} \right]} \right\}} \mathord{\left/ {\vphantom {{\left\{ {k_2 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]{\text{ }}\left[ { \cdot {\text{OH}}} \right]} \right\}} {\left\{ {k_4 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right] + k_5 \left[ { \cdot {\text{OH}}} \right]} \right\}}}} \right. \kern-\nulldelimiterspace} {\left\{ {k_4 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right] + k_5 \left[ { \cdot {\text{OH}}} \right]} \right\}}}$$
(26)

Substitution of Eq. 26 into Eq. 22 yields

$$\left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right] = \left[ {{{\left( {k_3 k_5 } \right)} \mathord{\left/ {\vphantom {{\left( {k_3 k_5 } \right)} {k_4 \left( {k_2 - k_3 } \right)}}} \right. \kern-\nulldelimiterspace} {k_4 \left( {k_2 - k_3 } \right)}}} \right]{\text{ }}\left[ { \cdot {\text{OH}}} \right]$$
(27)

As mentioned, in this process, the main products of interest being really beneficial to taste and aroma or flavor are acetic acid and ethyl acetate.

The net formation rate of ethyl acetate CH3COOCH2CH3 as shown in Fig. 1 is

$${{\operatorname{d} \left[ {{\text{CH}}_3 {\text{COOCH}}_2 {\text{CH}}_3 } \right]} \mathord{\left/ {\vphantom {{\operatorname{d} \left[ {{\text{CH}}_3 {\text{COOCH}}_2 {\text{CH}}_3 } \right]} {\operatorname{d} t}}} \right. \kern-\nulldelimiterspace} {\operatorname{d} t}} = k_4 \left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right]{\text{ }}\left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}} \cdot } \right] - k_6 \left[ { \cdot {\text{OH}}} \right]\left[ {{\text{CH}}_3 {\text{COOCH}}_2 {\text{CH}}_3 } \right]$$
(28)

While the net formation rate of acetic acid is

$${{\operatorname{d} \left[ {{\text{CH}}_3 {\text{COOH}}} \right]} \mathord{\left/ {\vphantom {{\operatorname{d} \left[ {{\text{CH}}_3 {\text{COOH}}} \right]} {\operatorname{d} t}}} \right. \kern-\nulldelimiterspace} {\operatorname{d} t}} = \left[ { \cdot {\text{OH}}} \right]{\text{ }}\left\{ {k5} \right.\left\{ {\left[ {{\text{CH}}_3 {\text{CO}} \cdot } \right] - k_7 \left[ {{\text{CH}}_3 {\text{COOH}}} \right]} \right\}$$
(29)

Production rate of ethyl acetate

Substitution of Eqs. 26 and 27 into Eq. 28 yields

$${{\operatorname{d} \left[ {{\text{CH}}_3 {\text{COOCH}}_2 {\text{CH}}_3 } \right]} \mathord{\left/ {\vphantom {{\operatorname{d} \left[ {{\text{CH}}_3 {\text{COOCH}}_2 {\text{CH}}_3 } \right]} {\operatorname{d} t}}} \right. \kern-\nulldelimiterspace} {\operatorname{d} t}} = {{k_2 \left\{ {k_4 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]\left[ { \cdot {\text{OH}}} \right]} \right\}} \mathord{\left/ {\vphantom {{k_2 \left\{ {k_4 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]\left[ { \cdot {\text{OH}}} \right]} \right\}} {\left\{ {k_4 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}}\cdot} \right] + k_{\text{5}} \left[ {\cdot{\text{OH}}} \right]} \right\}}}} \right. \kern-\nulldelimiterspace} {\left\{ {k_4 \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{O}}\cdot} \right] + k_{\text{5}} \left[ {\cdot{\text{OH}}} \right]} \right\}}} \times \left\{ {{{\left( {{{k_3 k_5 } \mathord{\left/ {\vphantom {{k_3 k_5 } {k_4 }}} \right. \kern-\nulldelimiterspace} {k_4 }}} \right)\left[ { \cdot {\text{OH}}} \right]} \mathord{\left/ {\vphantom {{\left( {{{k_3 k_5 } \mathord{\left/ {\vphantom {{k_3 k_5 } {k_4 }}} \right. \kern-\nulldelimiterspace} {k_4 }}} \right)\left[ { \cdot {\text{OH}}} \right]} {\left[ {\left( {k_2 - k_3 } \right)} \right]}}} \right. \kern-\nulldelimiterspace} {\left[ {\left( {k_2 - k_3 } \right)} \right]}}} \right\} - k_6 {\text{ }}\left[ { \cdot {\text{OH}}} \right]\left[ {{\text{CH}}_3 {\text{COOCH}}_2 {\text{CH}}_3 } \right]$$
(30)

Substitution of Eq. 27 into Eq. 30 leads to the net formation rate of ethyl acetate

$${{{\text{d}}\left[ {{\text{CH}}_{\text{3}} {\text{COOCH}}_{\text{2}} {\text{CH}}_{\text{3}} } \right]} \mathord{\left/ {\vphantom {{{\text{d}}\left[ {{\text{CH}}_{\text{3}} {\text{COOCH}}_{\text{2}} {\text{CH}}_{\text{3}} } \right]} {{\text{d}}t}}} \right. \kern-\nulldelimiterspace} {{\text{d}}t}}{\text{ = }}\left[ { \cdot {\text{OH}}} \right]\left\{ {{{{\text{k}}_{\text{2}} {\text{k}}_{\text{3}} {\text{k}}_{\text{5}} \left[ {{\text{CH}}_{\text{3}} {\text{CH}}_{\text{2}} {\text{OH}}} \right]} \mathord{\left/ {\vphantom {{{\text{k}}_{\text{2}} {\text{k}}_{\text{3}} {\text{k}}_{\text{5}} \left[ {{\text{CH}}_{\text{3}} {\text{CH}}_{\text{2}} {\text{OH}}} \right]} {\left[ {\left( {k_{\text{3}} k_{\text{5}} } \right){\text{ + }}\left( {k_{\text{2}} {\text{ - }}k_{\text{3}} } \right)k_{\text{5}} } \right]}}} \right. \kern-\nulldelimiterspace} {\left[ {\left( {k_{\text{3}} k_{\text{5}} } \right){\text{ + }}\left( {k_{\text{2}} {\text{ - }}k_{\text{3}} } \right)k_{\text{5}} } \right]}}{\text{ - }}k_{\text{6}} {\text{ }}\left[ {{\text{CH}}_{\text{3}} {\text{COOCH}}_{\text{2}} {\text{CH}}_{\text{3}} } \right]} \right\}$$
(31)

Production rate of acetic acid

Substitution of Eq. 26 into Eq. 29 we have the net formation rate for acetic acid

$${{\operatorname{d} \left[ {{\text{CH}}_{\text{3}} {\text{COOH}}} \right]} \mathord{\left/ {\vphantom {{\operatorname{d} \left[ {{\text{CH}}_{\text{3}} {\text{COOH}}} \right]} {{\text{d}}t}}} \right. \kern-\nulldelimiterspace} {{\text{d}}t}}{\text{ = }}\left( {k_{\text{2}} {\text{ - }}k_{\text{3}} } \right)\left[ { \cdot {\text{OH}}} \right]\left[ {{\text{CH}}_{\text{3}} {\text{CH}}_{\text{2}} {\text{OH}}} \right]{\text{ - }}\left. {k_{\text{7}} \left[ {{\text{CH}}_{\text{3}} {\text{COOH}}} \right]} \right\}$$
(32)

Consumption rate of ethanol

The consumption rate for ethanol is

$${{ - \operatorname{d} \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]} \mathord{\left/ {\vphantom {{ - \operatorname{d} \left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]} {\operatorname{d} t}}} \right. \kern-\nulldelimiterspace} {\operatorname{d} t}} = - \left( {k_2 + k_3 } \right)\left[ {{\text{CH}}_3 {\text{CH}}_2 {\text{OH}}} \right]\left[ { \cdot {\text{OH}}} \right]$$
(33)

Mineralization rate

Finally, the mineralization rate in this system is

$${{\operatorname{d} \left[ {{\text{CO}}_2 } \right]} \mathord{\left/ {\vphantom {{\operatorname{d} \left[ {{\text{CO}}_2 } \right]} {\operatorname{d} t}}} \right. \kern-\nulldelimiterspace} {\operatorname{d} t}} = k_6 {\text{ }}\left[ { \cdot {\text{OH}}} \right]\left\{ {\left[ {{\text{CH}}_3 {\text{COOCH}}_2 {\text{CH}}_3 } \right] + k_7 {\text{ }}\left[ {{\text{CH}}_3 {\text{COOH}}} \right]} \right\}$$
(34)

Source of Spirits

Young spirits, the white distilled brand of sorghum spirits made from steam-cooked sorghum (Kaoliang) by a serial processes involving inoculation, fermentation, and distillation at solid phase and aged for 1 month were provided by Taiwan Tabacco and Liquor. Its alcoholic content was 54% w/v.

Authentic Volatile Compounds

The authentic odorants used in this experiment supplied by Aldrich. (UK) had purity at least 97% when measured by gas chromatography Angilent HP-6890. The column used was DB-1 capillary column (  = 60 m; id = 0.25 mm) in which was packed with Chrompack fused silica (thickness = 0.32 μm). The detector used was of type FID (Angilent 6890, Willington, De, USA).

Reactor Installation

A three-necked 5 l reactor was installed with an UV light source (10 W, effective wavelength, 245 nm) at the central axis. The other two necks were installed with a thermocouple (sensitivity, within 0.01°C) and a pH meter (sensitivity within 0.1 U), respectively. In each batchwise operation, the reactor was filled with 3.0 l of Yusan Kaoliang spirits sample and 19.8 mg of nanogold powders (85.6% smaller than 100 nm, size ranging from 80~120 nm), which were homogeneously suspended in the reactor with a magnetic stirrer during the operation. Each batchwise reaction was carried out at ambient temperature. The head space of the reactor was always kept at 2.0 l above the liquid level. The initial dissolved oxygen (DO) was 6.7 ppm.

Recovery of nanogold particles

When reaction is completed, nanogold powder can be easily recovered simply by sedimentation. The recovery rate reached 100%. On ceasing agitation, the nanogold particles readily sediment to the bottom of reactor within a few minutes without any further treatment of either centrifugation or filtration.

Determination of Ethanolic Content

Ethanolic content was determined following the method of Zoecklein et al. (1990). Sample spirits (10 ml) was measured accurately and added with 1 ml of acetonitrile as the internal standard, and filtered with a Millipore filter (0.45 μm in porosity. GC analysis was carried out with a gas chromatography (Gas chromatography Angilent HP-6890). The column used was DB-1 capillary column (ℓ = 60 m; id = 0.25 mm, thickness = 1 μm) packed with chromopack-fused silica. The detector used was of type FID (Angilent 6890, Willington, De, USA). Nitrogen gas was used as the carrier gas operated at a flow rate of 1 ml/min with a split rate of 60:1. The GC oven temperature initially was held at 40°C for 10 min and raised from 40 to 240°C in 30 min at 2°C/min and maintained at 240°C for 10 min. The temperature at injection port was held at 200°C, and that at detector, was held at 220°C.

Assay of Volatile Compounds by GC-Mass Spectrometry

The odorants in spirits were analyzed with method of Romer and Renner (1974). Spirit sample (30 ml) was diluted with distilled water to a concentration of 4% alcoholic content (sample A), added with 2 ml of internal standard (16.9 mg of cyclohexanol accurately weighed and dissolved in 100 ml of distilled water). Sample A (30 ml) was transferred into an Erlenmeyer flask (250 ml). Dichloromethane (120 ml) was added with vigorous stirring for 2 h, let stand for separation of the two layers, and separated with a separation funnel to obtain the lower dichloromethane layer. The latter was added with a sufficient amount of anhydrous sodium sulfate, shaken vigorously, and filtered through a filter paper into an oval-shaped flask. The oval flask was placed at the bottom of the concentration tower and heated at 45°C using a constant temperature water bath. The first stage concentration was proceeded until 1~2 ml remained in the flask. The second stage concentration was continued with nitrogen gas blowing at a flow rate of 25 ml/min to obtain the residual odorant concentrate 0.5 ml (sample B). The sample B obtained in the above was directly injected into gas chromatography/mass selective detector (GC-MSD) (Hewlett-Packard 6890, connected to Hewlett-Packard 5973 MSD). A capillary column (column type DB-1: 60 mm in length with id = 0.25 mm) was used. Carrier gas helium gas was operated at a flow rate of 1.0 ml/min with a split ratio of 80:1. The temperature was programmed starting from an initial at 40°C for 10 min, by 2°C/min to 240°C and remained for 30 min. The injector temperature was set at 250°C. The MS source temperature was 230°C, the EM voltage was adjusted to 1,800 V, and the MS Quad temperature was 150°C.

The qualitative and quantitative determination of odorant components was performed following the method of Majlat et al. (1974). The odorant components in Kaoliang spirit was cross referred to the diagrams obtained from the GC-MSD. The triplicate quantitative determinations were carried out using an internal standard. The concentration of a specific component C was calculated from Eq. 35.

$$C = \left( {{{A_{\text{s}} } \mathord{\left/ {\vphantom {{A_{\text{s}} } {A_{{\text{in}}} }}} \right. \kern-\nulldelimiterspace} {A_{{\text{in}}} }}} \right) \times \left( {C_{{\text{st}}} } \right)$$
(35)

where C is the ppm of the specified component;

A s :

is the area of integrated diagrams obtained from GC-MS for the sample;

A in :

is the area of integrated diagrams obtained from GC-MS for the internal standard; and

C st :

is ppm of internal standard

The structural determinations were processed by referring to the computerized database of Heller and Miline (1978a, b) and TNO (1981). Alternatively, some data were referred to the cited mass spectroscopic data.

Reaction Temperature Profile

The reaction temperature was taken manually every 5 min from the beginning of turn-on of the UV source.

Acidity and PH Profiles

The pH values were directly read from the pH meter attached in the reactor. The volatile acidity was determined according to Amerine and Ough (1980).

Ten milliliters of the sample was transferred into a Sellier tube. The mixture was heated to initiate the steam to be purged into the tube. The volatile components were thus driven out and condensed into the receiver. The solution in the receiver was moderately heated to boil for a period no longer than 30 s. Phenolphthalein indicator (three drops) was added while hot. The mixture was titrated against 0.1 N NaOH to the endpoint (pinkish color). Volatile acid content was calculated according to Eq. 36.

$$C_{{\text{va}}} = {{\left( V \right) \cdot \left( N \right) \cdot \left( 6 \right)} \mathord{\left/ {\vphantom {{\left( V \right) \cdot \left( N \right) \cdot \left( 6 \right)} { \cdot \;S}}} \right. \kern-\nulldelimiterspace} { \cdot \;S}}$$
(36)

where C va is the volatile acid content expressed as grams acetic acid per 100 ml; V is the volume of titrant NaOH (ml); N is the equivalent of NaOH; S is the volume of sample (ml).

Sensory Evaluation Studies

The results of acceptance were tested through the use of the seven-point Hedonic Scale (International Organization for Standardization 1987; (Silva Ferreira et al. 2003). A total of 24 wine masters evaluated the product with respect to overall all “like” or “dislike”. Data are expressed as mean score with 1—extremely dislike; 5—neither like nor dislike; 9—extremely like. (N = 24).

Safety Tests

Acute toxicity test was performed for 7 days by Japan Food and Safety Examination Bureau. Female Spraque—Dawley (SD) rats SPF, aged 6 weeks, were used for safety tests. Their body weights were measured before experiment and before killing, respectively. The aged spirits were fed to SD per os with a single dose of 4 ml/kg. Their growth status was recorded daily.

Statistical Methods

The statistical significance of the differences among samples tested was analyzed using Statistical Analysis System (SA System) software. Student’s t test was performed. Differences were considered to be significant at level of p < 0.05. Results are presented as mean ± SD within triplicate results of each experiment.

Results and Discussion

Free radical catalyzed reaction was exothermic in nature (Fig. 2a and b). With sufficient amount of dissolved oxygen (DO = 6.7 ppm at the initial point), the reaction vigorously proceeded with a large amount of heat evolved between 15 and 30 min after the start of reaction (Table 1 and Fig. 2b). The oxidative degradation reaction of ethanol and its intermediate oxidized products proceeded rapidly. Total organic carbons (TOC) decreased from 262 to 227 g/l with concomitant formation of total inorganic carbons (TIC) from 7.8 to 16.6 g/l within 240 min (Table 2). Obviously, although mineralization (reactions k 6 and k 7) is inevitable, it is, however, controllable.

Fig. 2
figure 2

Reaction temperature profile vs time in maturation process of young Yusan Kaoliang spirit by nanogold photocatalyzed process. a A common T-t profile: Young Yusan Kaoliang spirit 3,000 ml. Nanogold catalyst 19.8 mg. UV source (10 W): 245 nm. Reaction time 4 h at ambient temperature 27.8°C with magnetic stirring. b The first derivative presentation of (a): peak exothermic time occurred at 15 min and the second maximum at 110 min after the start of reaction

Table 1 Reaction parameters obtaineda
Table 2 Degree of mineralization during the nano-photocatalytic maturation process of young Kaoliang spiritsa

Sensory evaluation studies (Table 3) showed that an optimum product was obtainable between 90 to 120 min after the beginning of the reaction (CL: 0.95, n = 48), which virtually and relevantly associated with the change in odorant transition profile (Table 4) and the acidity (1.18 g/100 ml; pH 3.4) of the final product (Table 2). Some 70 odorants were examined, the acetic acid content was found approaching maximum at 90 min with slight decrease to 2.00 ppm at 120 min after the beginning of the reaction (Table 4). Simultaneously, the concentration of ethyl acetate increased to the highest peak of 59.61 ppm at 120 min (Table 4). Other important flavor component levels at 120 min were, respectively, 112.57, 18.77, 0.71 and 8.89 for 1,1-diethoxy ethane, 2-methyl 1-butanol, 3-methyl butanol, and acetoin, respectively (Table 4). As for common good esters, the contents of which at 120 min were 13.18, 18.98, 351.05 16.53, 0.74, 3.66, and 2.39 ppm for ethyl succinate, ethyl caprylate, ethyl lactate, ethyl-2-hydroxycaproate, ethylphenyl acetate, isoamyl acetate, and propyl acetate, respectively. Although not all at their maximum values at 120 min post the start of reaction, they still remained at relatively high levels (Table 4). The volatile acidity reached its maximum value of 1.53 g/100 ml at 60 min, while pH value remained at its lowest point of 3.4 (Fig. 3; Table 1), indicating vigorous oxidative degradation was proceeding in the reactor during 0–60 min.

Fig. 3
figure 3

Acid production vs reaction time in maturation process of young Yusan Kaoliang spirit catalyzed by nanogold photocatalyzed process. Young Yusan Kaoliang spirit 3,000 ml. Nanogold catalyst 19.8 mg. UV source (10 W): 245 nm. Reaction time 4 h at ambient temperature 27.8°C with magnetic stirring. During the photocatalyzed oxidation, some intermediate aroma could be produced from transformation of ethanol (organic carbon). Acid production occurs at a reaction time only shortly before mineralization. As shown, peak acid production time occurred at 60 min post the start of reaction

Table 3 Results of sensory evaluation on the Yusan Kaoliang spirits as a time function during the nano-photocatalyzed maturationa
Table 4 Odorant transition profile during nano-photocatalytic maturation of young Kaoliang (Sorghum) spirits*

Seemingly, a regular rule could be found from Table 4. Results in Table 4 evidenced active formation of ethyl-, ethoxy-, and acetoxy free radical groups as the intermediates during the oxidative reaction course. Consequently, these functionality-containing compounds all exhibited damping profiles during the reaction. In contrast, those compounds that did not bear such functionality were degraded all the way down (Table 4). Acetic acid has always been considered to be the most important volatile acid resulting from ageing process; the fixed and volatile acid content for 1-year aged wines commonly may be only 4.37 and 18.21%, respectively; however, an 80-year aged distilled wine was reported to contain 127.55 and 265.5% (data converted to g/100 l of 100% alcohol content), respectively (Ouyang et al. 1999). Steady and tender ageing can improve ester contents from 0.148 to 0.190 g/100 ml and that of total acid from 0.036 to 0.06 5 g/100 ml in distilled wines. Nonetheless, it is advisable to avoid excess vigorous oxidation (Ouyang et al. 1999; Silva Ferreira et al. 2002; Cutzach et al. 1999). Over oxidation may result in “acid odor” in maderized wines (Cantarelli 1967). In the case with dry wines, these phenomena may lead to deterioration of the bouquet ageing.

Although esterification index has long been accepted as a criterion in wine ranking (Ouyang et al. 1999), it would not be applicable to a photocatalyzed maturation process. Instead, a new balance of the constituting flavors produced in such a reaction would play an important role in determining the sensory quality. Hence, to control the oxygen content is obviously a crucial technology in accelerating the maturity (Ouyang et al. 1999; Silva Ferreira et al. 2002; Cutzach et al. 1999). In other words, a novel ranking parameter is required for such an evaluation. Maria Andre et al. (2004) indicated a tendency of aldehydes increase and lowering of fuel oil levels during the ageing period. In addition to increased values of ethyl acetate and acetic acid, other changes probably are related to better sensory quality of aged sugar cane spirits (Maria Andre et al. 2004).

By using the nanogold photocatalysis, the spirit successfully accelerated the maturity of the young spirits with pleasant sensory feeling. Interestingly, the product obtained by the maturity-acceleration technique virtually was comparable to conventionally aged products with regard to its quality (Table 3). More importantly, the matured product was concomitantly identified to be nontoxic (Tables 5 and 6).

Table 5 Body weight variations of SD rats SPF prior to and post administration of the maturity accelerated young Kaoliang spiritsa
Table 6 Biochemical examinations of the rat blood obtained from the acute toxicity testa

Practically, we are only interested in the major reactions that are helpful in upgrading the quality of the spirit, i.e., to increase the content of esters such as ethyl acetate with some trace amount of carboxylic acids such as acetic acid. Obviously, the mineralization reactions (Eqs. 30 and 31) are unwanted, yet inevitable. According to the kinetic analysis, the overall reaction was parallel consecutive reaction kinetics in nature (Fig. 1), i.e., the hydroxyl free radical (·OH) catalyzed formation of ethyl acetate, and acetic acid virtually is a parallel consecutive kinetics.

The free radical initiated chain reactions are characteristically difficult to estimate with their reaction kinetics. Kinetically, at initial stage of reaction, in the presence of large amounts of ethanol, the amounts of ethyl acetate and acetic acid present are very small compared to the mother substrate ethanol; hence, the rate constants k 6 and k 7 (Fig. 1) are negligible, and the original parallel and consecutive reaction can be treated as a pseudo-parallel or simultaneous kinetic. As elucidated in this present manuscript, the entire process can be mainly affected by the hydroxyl free radical concentration [·OH] (Eqs. 14, 15 and 18). Given a constant light intensity with definite geometry (Eq. 14), a constant particle size of nanogold catalyst in a well-suspended solution (Eq. 14), the concentration of [·OH] was merely proportional to the dissolved oxygen (DO) (Eq. 18). To optimize or enrich ethyl acetate (Eq. 31) and acetic acid (Eq. 32) that are pleasant to the human sensors, the process control is suggestive to aim at increasing acetic acid and ethyl acetate productions (Table 4) by carefully controlling the DO at initial phase (0–30 min) (Table 1) (Eq. 18).

In fact, such a chain type free radical reaction can be optimized as verified by Eqs. 31, 32, and 34. To enhance production of ethyl acetate and acetic acid would benefit the sensory aroma and taste. As can be seen from the finalized Eqs. 31 and 32, those are all functions of hydroxyl free radical concentration [·OH]. Obviously, to obtain good quality spirit, to carefully control the dissolved oxygen (DO) for optimization of the net formation rate of hydroxyl free radicals (Eq. 18) would be a crucial process-control strategy. Otherwise, the unwanted mineralization rate (Eq. 34) (Tables 1 and 2) has to be minimized.

Finally, cost analysis indicated that normally, an average of 6–7% per year can be saved (Table 7). In general, the sorghum young spirits need a minimum period of 4 years for aging before marketed. Thus, a total reduction of 24–28% can be expected for each batch.

Table 7 Cost saving analysisa

In summary, the operational conditions for such photocatalyzed maturation technology are: an initial DO of 6.7 ppm in an effective reactor volume of 3 l which is dispersed with an amount of nanogold powder (80–120 nm, 6.6 mg/l) and installed with a built-in UV source (245 nm, 10 W). An optimum reaction time of 120 min at temperature <37°C and a percent degree of mineralization controlled at ≤4.87%. Under such a condition, the optimum ratio of [the favorable (esters + alcohols + ethers)formed] / [the favorable (acids)formed] ≥45.8 can be expected. Kinetic analysis has revealed that to obtain acetic acid and ethyl acetate that are favorable to the sensory taste of spirit, careful control of DO to attain an optimum production rate of hydroxyl free radical [·OH] can be a crucial step in the overall process. More importantly, this technology could provide advantages of container-saving, space-saving, labor-saving, and no storage-loss due to evaporation.

Conclusion

A novel nanogold photocatalyzed process has been developed, which when linked with biological ageing technology can accelerate maturity of young sorghum spirits. This technology could be an extremely cost-efficient innovation compared with the conventional process with respect to barrel-saving, space-saving, labor-saving, and storage-loss. Due to evaporation, kinetic equations have been developed by which an optimum control for production of main flavors and tastes, i.e., ethyl acetate and acetic acid, could be validated.