The inversion of cane sugar is tracked using a polarimeter. Let the optical rotation angles be , , a — Chemical Kinetics Chemistry Question
Question
The inversion of cane sugar is tracked using a polarimeter. Let the optical rotation angles be $r_0$, $r_t$, and $r_\infty$ at times zero, $t$, and infinity respectively. Which formula accurately determines the pseudo-first-order rate constant $k$?
Answer: B
💡 Solution & Explanation
The total initial concentration $a$ is proportional to the total achievable optical shift $(r_0 - r_\infty)$. The concentration of unreacted sugar remaining $(a-x)$ is strictly proportional to the remaining optical shift $(r_t - r_\infty)$. The log ratio of these quantities gives the correct equation.
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