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MCQMediumJEE Main 2025 · 7 April, Shift 2Integrated Rate Laws

Chemistry Question from JEE Main 2025 · 7 April, Shift 2

A(g) →\rightarrow B(g) + C(g) is a first order reaction.

Timett∞\infty
PsystemP_{\text{system}}PtP_tP∞P_\infty
Table showing system pressure at time t as P_t and at infinite time as P_\infty for the gas reaction.

The reaction was started with reactant A only. Which of the following expression is correct for rate constant kk ?

  • A

    k=1tln⁡2(P∞−Pt)Ptk = \frac{1}{t} \ln \frac{2(P_\infty - P_t)}{P_t}

  • B

    k=1tln⁡P∞Ptk = \frac{1}{t} \ln \frac{P_\infty}{P_t}

  • C

    k=1tln⁡P∞2(P∞−Pt)k = \frac{1}{t} \ln \frac{P_\infty}{2(P_\infty - P_t)}

  • D

    k=1tln⁡P∞(P∞−Pt)k = \frac{1}{t} \ln \frac{P_\infty}{(P_\infty - P_t)}

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