The specific rotation of a sugar solution is | vedclass

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(A) The formula for specific rotation is given by $\alpha = \frac{	heta}{l \cdot c}$,where $	heta$ is the optical rotation,$l$ is the length of the

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$80$

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(A) The formula for specific rotation is given by $\alpha = \frac{	heta}{l \cdot c}$,where $	heta$ is the optical rotation,$l$ is the length of the tube,and $c$ is the concentration of the pure sugar.Rearranging the formula to find the concentration of pure sugar: $c = \frac{	heta}{\alpha \cdot l}$.Substituting the given values: $c = \frac{0.4}{0.01 	imes 0.25} = \frac{0.4}{0.0025} = 160 \ kg/m^3$.The percentage purity is calculated as the ratio of the concentration of pure sugar to the concentration of the impure sample multiplied by $100$.Percentage purity $= \left( \frac{160}{200} ight) 	imes 100 = 80\%$.

The specific rotation of a sugar solution is $0.01 \ SI$ units. $A$ $200 \ kg/m^3$ solution of impure sugar is taken in a polarimeter tube of length $0.25 \ m$,and an optical rotation of $0.4 \ rad$ is observed. The percentage of purity of sugar in the sample is.....$\%$

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