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Counter-Strike: Source (2004)

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Rate of disappearance of the reactant ' \( \mathrm{C} \) ' in the reversible reaction \( A \rightleftharpoons B \) at two temperalures is given as
\[
\begin{array}{l}
-\frac{\mathrm{d}[A]}{\mathrm{d} t}=\left(2.0 \times 10^{3} \mathrm{~s}^{1}\right)[A] \quad\left(5.0 \times 10^{4} \mathrm{~s}^{1}\right) \text { [B] } \\
\left(\text { at } 27^{\circ} \mathrm{C}\right) \\
-\frac{\mathrm{d}[\mathrm{A}]}{\mathrm{d} t}=\left(8.0 \times 10^{2} \mathrm{~s}^{1}\right)[\mathrm{A}]-\left(4.0 \times 10^{3} \mathrm{~s}^{1}\right)[13] \\
\left(\text { at } 127^{\circ} \mathrm{C}\right)
\end{array}
\]
The enthalpy of reaction in the given temperature range is
(a) \( -\frac{2.303 \times 8.314 \times 300 \times 400}{100} \cdot \log (50) \mathrm{J} / \mathrm{mol} \)
(c) \( \frac{2.303 \times 8.314 \times 300 \times 400}{100} \cdot \log (50) \mathrm{J} / \mathrm{mol} \)
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