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MHT CET · Chemistry · Chemical Kinetics

Find the rate of following reaction.
\(2 \mathrm{~N}_2 \mathrm{O}_{5(\mathrm{~g})} \rightarrow 4 \mathrm{NO}_{2(\mathrm{~g})}+\mathrm{O}_{2(\mathrm{~g})}\)
if concentration of \(\mathrm{NO}_2\) increases to \(5.2 \times 10^{-3} \mathrm{M}\) in 100 seconds.

  1. A \(1.3 \times 10^{-3} \mathrm{~mol} \quad \mathrm{dm}^{-3} \mathrm{~s}^{-1}\)
  2. B \(1.3 \times 10^{-5} \mathrm{~mol} \quad \mathrm{dm}^{-3} \mathrm{~s}^{-1}\)
  3. C \(4.0 \times 10^{-5} \mathrm{~mol} \quad \mathrm{dm}^{-3} \mathrm{~s}^{-1}\)
  4. D \(5.2 \times 10^{-5} \mathrm{~mol} \quad \mathrm{dm}^{-3} \mathrm{~s}^{-1}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(1.3 \times 10^{-5} \mathrm{~mol} \quad \mathrm{dm}^{-3} \mathrm{~s}^{-1}\)

Step-by-step Solution

Detailed explanation

\(\text{Rate} = +\frac{1}{4} \frac{\Delta[\mathrm{NO}_2]}{\Delta t}\) \(\text{Rate} = \frac{1}{4} \times \frac{5.2 \times 10^{-3} \mathrm{~M}}{100 \mathrm{~s}}\)