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CUET · CHEMISTRY · PYQ PAPER 2025

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The decomposition of \(N_2O_5\ (g)\) is given as
\(N_2O_5(g) \rightarrow 2NO_2(g) + \frac{1}{2}O_2(g)\)
The above reaction is found to be of first order.
The initial concentration of \(N_2O_5\) was \(1.24 \times 10^{-2}\ M\) at \(318\ K\).
The concentration \(N_2O_5\) after \(60\ minutes\) was \(0.20 \times 10^{-2}\ M\).
The rate constant of the reaction at \(318\ K\) is ______________ (\(log\ 6.2 = 0.792\))

  1. A \(0.0304\ min^{-1}\)
  2. B \(0.0608\ s^{-1}\)
  3. C \(0.0304\ L\ mol^{-1}\ min^{-1}\)
  4. D \(0.0304\ s^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(0.0304\ min^{-1}\)

Step-by-step Solution

Detailed explanation

\(k = \frac{2.303}{t} \log\left(\frac{[N_2O_5]_0}{[N_2O_5]_t}\right)\) \(k = \frac{2.303}{60 \text{ min}} \log\left(\frac{1.24 \times 10^{-2}\ M}{0.20 \times 10^{-2}\ M}\right)\) \(k = \frac{2.303}{60 \text{ min}} \log(6.2)\) \(k = \frac{2.303}{60 \text{ min}} \times 0.792\)…
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