1. Tardigrade
  2. Question
  3. Chemistry
  4. For a first order reaction involving decomposition of N2O5, following information is available 2N2O5(g) xrightarrow[]4NO2(g)+O2(g), Rate =k[N2O5] N2O5(g) xrightarrow[]2NO2(g)+(1/2)O2(g), Rate =k[N2O5] Which of following expression is true?

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Q. For a first order reaction involving decomposition of $ {{N}_{2}}{{O}_{5}}, $ following information is available $ 2{{N}_{2}}{{O}_{5}}(g)\xrightarrow[{}]{{}}4N{{O}_{2}}(g)+{{O}_{2}}(g), $ Rate $ =k[{{N}_{2}}{{O}_{5}}] $ $ {{N}_{2}}{{O}_{5}}(g)\xrightarrow[{}]{{}}2N{{O}_{2}}(g)+\frac{1}{2}{{O}_{2}}(g), $ Rate $ =k[{{N}_{2}}{{O}_{5}}] $ Which of following expression is true?

VMMC MedicalVMMC Medical 2015

Solution:

$ 2{{N}_{2}}{{O}_{5}}(g)\xrightarrow[{}]{{}}4N{{O}_{2}}+{{O}_{2}}(g) $ Rate $ =-\frac{1}{2}\frac{[{{N}_{2}}{{O}_{5}}]}{dt}=k[{{N}_{2}}{{O}_{5}}] $ or Rate $ =-\frac{d[{{N}_{2}}{{O}_{5}}]}{dt}=2k[{{N}_{2}}{{O}_{5}}] $ For $ {{N}_{2}}{{O}_{5}}\xrightarrow[{}]{{}}2N{{O}_{2}}+\frac{1}{2}{{O}_{2}} $ $ -\frac{d[{{N}_{2}}{{O}_{5}}]}{dt}=k'[{{N}_{2}}{{O}_{5}}] $ or Rate $ =-\frac{d[{{N}_{2}}{{O}_{5}}]}{dt}=k'[{{N}_{2}}{{O}_{5}}] $ Since, rate must be .same, k' = 2k