A) \[\frac{2{{k}_{1}}}{{{k}_{2}}}{{[N{{O}_{2}}]}^{2}}\]
B) \[2{{k}_{1}}{{[N{{O}_{2}}]}^{2}}-2{{k}_{2}}[{{N}_{2}}{{O}_{4}}]\]
C) \[2{{k}_{1}}{{[N{{O}_{2}}]}^{2}}-{{k}_{2}}[{{N}_{2}}{{O}_{4}}]\]
D) \[(2{{k}_{1}}-{{k}_{2}})[N{{O}_{2}}]\]
Correct Answer: B
Solution :
| \[2N{{O}_{2}}\underset{{{k}_{2}}}{\overset{{{k}_{1}}}{\longleftrightarrow}}{{N}_{2}}{{O}_{4}}\] |
| Rate of reaction of \[=-\frac{1}{2}\frac{d\,[N{{O}_{2}}]}{dt}\] |
| \[={{k}_{1}}{{[N{{O}_{2}}]}^{2}}-{{k}^{2}}[{{N}_{2}}{{O}_{4}}]\] |
| \[\therefore \,\] Rate of disappearance of \[N{{O}_{2}}\] |
| i.e. \[\frac{-d[N{{O}_{2}}]}{dt}=2{{k}_{1}}{{[N{{O}_{2}}]}^{2}}-2{{k}_{2}}[{{N}_{2}}{{O}_{4}}]\] |
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