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Question: Answered & Verified by Expert
$2 \mathrm{NO}(\mathrm{g})+\mathrm{O}_2(\mathrm{~g}) \rightarrow 2 \mathrm{NO}_2(\mathrm{~g}), \frac{\mathrm{d}\left[\mathrm{NO}_2\right]}{\mathrm{dt}}=0.052 \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}$. Calculate
$-\frac{\mathrm{d}\left[\mathrm{O}_2\right]}{\mathrm{dt}}$
ChemistryChemical KineticsMHT CETMHT CET 2022 (10 Aug Shift 1)
Options:
  • A $0.026 \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}$
  • B $0.052 \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}$
  • C $0.078 \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}$
  • D $0.114 \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}$
Solution:
1275 Upvotes Verified Answer
The correct answer is: $0.026 \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}$
$\begin{aligned}-\frac{\mathrm{d}\left[\mathrm{O}_2\right]}{\mathrm{dt}} & =\frac{1}{2} \frac{\mathrm{d}\left[\mathrm{NO}_2\right]}{\mathrm{dt}} \\ & =\frac{1}{2} \times 0.052 \\ & =0.026 \mathrm{~mol} \mathrm{dm}^{-3} \mathrm{~s}^{-1}\end{aligned}$

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