Chapter 21, Problem 59P

Interpretation Introduction

Interpretation:

The percentage of $\alpha -\text{D}$-glucose and $\beta -\text{D}$-glucose present at equilibrium is to be calculated.

Concept Introduction:

Specific rotation of mixture at equilibrium is calculated by the formula,

$S=\left(S_{\text{α}}\times x\right)+\left(S_{\text{β}}\times \left(1-x\right)\right)$

Where,

• $S$ is the specific rotation of mixture at equilibrium.
• $S_{\text{α}}$ is the specific rotation of $\alpha -\text{D}$-glucose.
• $S_{\text{β}}$ is the specific rotation of $\beta -\text{D}$-glucose.
• $x$ is the fraction of $\alpha -\text{D}$-glucose present in a mixture.
• $1-x$ is the fraction of $\beta -\text{D}$-glucose present in a mixture.