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Consider the decay of \( \mathrm{P} \) to \( \mathrm{A} \) and \( \mathrm{B} \) by two parallel first order reactions as shown in Fig. Given
\( \mathrm{P} \)
\begin{tabular}{|c|c|c|c|}
\hline Reaction & \( \Delta \mathrm{H} \) & Rate constant & Energy of activation \\
\hline \( \mathrm{P} \rightarrow \mathrm{A} \) & \( \Delta \mathrm{H}_{\mathrm{A}} \) & \( \mathrm{k}_{\mathrm{A}} \) & \( \mathrm{E}_{\mathrm{A}} \) \\
\hline \( \mathrm{P} \rightarrow \mathrm{B} \) & \( \Delta \mathrm{H}_{\mathrm{B}} \) & \( \mathrm{k}_{\mathrm{B}} \) & \( \mathrm{E}_{\mathrm{B}} \) \\
\hline
\end{tabular}
W
Which of the following is(are) true?
(A) \( \mathrm{a}=\mathrm{E}_{\mathrm{B}} \)
(B) \( \mathrm{b}=\mathrm{E}_{\mathrm{A}} \)
(C) \( \Delta \mathrm{H}_{\mathrm{A}}=\mathrm{b}-\mathrm{d} \)
(D) \( \Delta \mathrm{H}_{\mathrm{B}}=\mathrm{c}-\mathrm{a} \)
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