$\underset{D e x t r o}{C_{12} H_{22} O_{11}} + H_{2} O \overset{H^{+}}{\to} \underset{(D e x t r o)}{C_{6} H_{12} O_{6}} + \underset{(L e a v o)}{C_{6} H_{12} O_{6}}$
Angle of rotation measured by a polarimeter decreases and at the end rotation becomes negative. Following observations are made
Time 0 15 $\infty$
Rotation/degree ${16.8}^{0}$ ${2.8}^{0}$ $- {11.2}^{0}$
The time at which mixture is optically inactive is $x \times 10$ min (To the nearest integer). What is $x$ value?

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answer is 2.

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Detailed Solution

$[g i v e n K = .0462 \min^{- 1} \log 28 = 1.4471 \log 11.2 = 1.0492]$
$K = \frac{2.303}{t} \log \frac{r_{\infty} - r_{0}}{r_{\infty} - r_{t}}$
$t = 19.8$ to the nearest integer 20 ie $2 \times 10$ .

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