Rate law for the reaction $2 \mathrm{NO}+\mathrm{Cl}_2 \rightarrow 2 \mathrm{NOCl}$ is rate…

Rate law for the reaction $2 \mathrm{NO}+\mathrm{Cl}_2 \rightarrow 2 \mathrm{NOCl}$ is rate $=\mathrm{k}[\mathrm{NO}]^2\left[\mathrm{Cl}_2\right]$. When will the value of k increase?
  1. by increasing temperature
  2. . by increasing [NO]
  3. by increasing $\left[\mathrm{Cl}_2\right]$
  4. by increasing both [ NO$]$ and $\left[\mathrm{Cl}_2\right]$

Solution

Arrhenius equation $\mathrm{k}=\mathrm{Ae}^{-\mathrm{E}_{\mathrm{a}} / \mathrm{RT}}$ shows that, as the temperature rises, $\frac{\mathrm{E}_{\mathrm{a}}}{\mathrm{RT}}$ decreases. This causes an increase in $\mathrm{e}^{-\mathrm{E}_{\mathrm{a}} / \mathrm{RT}}$ which increases k and the rate of reaction.

Asked in: MHT CET 2024 (02 May Shift 1)

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