The percent of each enantiomer in the given solution has to be calculated. Concept introduction: The pair of Enantiomers has different configurations. Pair of enantiomers has different optical activity, which means if one will show levorotatory then the other will show dextrorotatory. The direction and magnitude of rotation of plane-polarized light by an optically compound is measured by using polarimeter . This rotation of polarized light is specific for a compound at specified temperature and wavelength, so it is called as Specific rotation of that compound. The specific rotation of enantiomers has equal magnitudes and opposite signs. Specific rotation of compound is calculated by, [ α ] λ T = α l ( d m ) × c ( g / 100 m L ) [ α ] λ T − s p e c i f i c r o t a t i o n ( a t T a n d λ ) α − o b s e r v e d r o t a t i o n c − c o n c e n t r a t i o n o f t h e s a m p l e l − l e n g t h o f t h e s a m p l e t u b e If the mixture contain unequal amount of enantiomers of a compound, then the amount of excess of enantiomer is called enantiomeric excess or optical purity. It is calculated by, enantiomeric excess = observed specific rotation specific rotation of the pure enantiomer ×100%

Question

5. A solution of sucrose is fermented in a vessel until the evolution of CO2 ceases. Then, the product solution is analyzed and found to contain, 45% ethanol; 5% acetic acid; and 15% glycerin by weight. If the original charge is 500 kg, evaluate; e. The ratio of sucrose to water in the original charge (wt/wt). f. Moles of CO2 evolved. g. Maximum possible amount of ethanol that could be formed. h. Conversion efficiency. i. Per cent excess of excess reactant. Reactions: Inversion reaction: C12H22O11 + H2O →2C6H12O6 Fermentation reaction: C6H12O6 →→2C2H5OH + 2CO2 Formation of acetic acid and glycerin: C6H12O6 + C2H5OH + H₂O→ CH3COOH + 2C3H8O3

Answer 1

Question

Chapter 4, Problem 75P

Interpretation Introduction

Interpretation:

The percent of each enantiomer in the given solution has to be calculated.

Concept introduction:

The pair of Enantiomers has different configurations.

Pair of enantiomers has different optical activity, which means if one will show levorotatory then the other will show dextrorotatory.

The direction and magnitude of rotation of plane-polarized light by an optically compound is measured by using polarimeter.

This rotation of polarized light is specific for a compound at specified temperature and wavelength, so it is called as Specific rotation of that compound.

The specific rotation of enantiomers has equal magnitudes and opposite signs.

Specific rotation of compound is calculated by,

[α]λT=αl ( dm)×c (g/100mL) [α]λT−specific rotation (at T and λ)α−observed rotationc−concentration of the samplel−length of the sample tube

If the mixture contain unequal amount of enantiomers of a compound, then the amount of excess of enantiomer is called enantiomeric excess or optical purity. It is calculated by,

enantiomeric excess =observed specific rotationspecific rotation of the pure enantiomer×100%

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5. A solution of sucrose is fermented in a vessel until the evolution of CO2 ceases. Then, the product solution is analyzed and found to contain, 45% ethanol; 5% acetic acid; and 15% glycerin by weight. If the original charge is 500 kg, evaluate; e. The ratio of sucrose to water in the original charge (wt/wt). f. Moles of CO2 evolved. g. Maximum possible amount of ethanol that could be formed. h. Conversion efficiency. i. Per cent excess of excess reactant. Reactions: Inversion reaction: C12H22O11 + H2O →2C6H12O6 Fermentation reaction: C6H12O6 →→2C2H5OH + 2CO2 Formation of acetic acid and glycerin: C6H12O6 + C2H5OH + H₂O→ CH3COOH + 2C3H8O3

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