The decomposition of \( PH_3 \) follows first order kinetics. The time required for \( \frac{3}{4} \)th of \( PH_3 \) to decompose is \( 75.76\,s \). Calculate the fraction of original amount of \( PH_3 \) which will remain after \( 2.0 \) minutes.

Question

Following are the four molecules ``P``, ``Q``, ``R`` and ``S``. Which one among the four molecules will react with H-Br(aq) at the fastest rate? Molecules:

\[ P: \text{Cyclic compound with two O groups attached to the ring.} \] \[ Q: \text{Cyclic compound with one O group and one CH\(_3\) group attached to the ring.} \] \[ R: \text{Cyclic compound with one O group attached to the ring and one CH\(_3\) group attached to the ring.} \] \[ S: \text{Cyclic compound with one CH\(_3\) group attached to the ring.} \]

The decomposition of \( PH_3 \) follows first order kinetics. The time required for \( \frac{3}{4} \)th of \( PH_3 \) to decompose is \( 75.76\,s \). Calculate the fraction of original amount of \( PH_3 \) which will remain after \( 2.0 \) minutes.

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The Correct Option is B

Solution and Explanation

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