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$\begingroup$ I think $\frac{n}{n-x}$ = $\frac{\alpha_s(n)}{\alpha_s(t)}$ $\endgroup$– Manit AgarwalCommented Aug 6, 2020 at 2:48
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$\begingroup$ In your expression rotation of glucose and fructose is also appearing whereas it should only be of cane sugar. Also how to calculate total rotation at $E$ (Question 2) $\endgroup$– Manit AgarwalCommented Aug 6, 2020 at 2:52
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$\begingroup$ Why should it not appear in the expression? In a solution the net optical rotation is said to be the sum of the all components internal and external. $\alpha$ is observed optical rotation. $\endgroup$– Safdar FaisalCommented Aug 6, 2020 at 5:06
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$\begingroup$ Because in first order reaction rate is directly proportional to concentration of solute, which is assumed to be directly proportional to optical rotation of solute $\endgroup$– Manit AgarwalCommented Aug 6, 2020 at 5:41
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$\begingroup$ @ManitAgarwal-Elpsycongroo What we are able to observe in a reaction is the final optical rotation of the entire solution. And that is what we use to check the rate. We cannot observe only the rotation due to one component of a mixture in said mixture. $\endgroup$– Safdar FaisalCommented Aug 6, 2020 at 5:43
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