The inversion of cane sugar is monitored using a polarimeter. If , , and are the angles of optical r — Chemical Kinetics Chemistry Question
Question
The inversion of cane sugar is monitored using a polarimeter. If $r_0$, $r_t$, and $r_\infty$ are the angles of optical rotation at time zero, $t$, and infinity respectively, what is the correct formula for the rate constant $k$?
Answer: C
💡 Solution & Explanation
The total initial concentration $a$ is proportional to the total optical shift $(r_0 - r_\infty)$. The concentration of unreacted sugar $(a-x)$ is proportional to the remaining optical shift $(r_t - r_\infty)$. The log ratio of these quantities gives the correct equation.
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