A) \[\frac{2{{k}_{1}}}{{{k}_{2}}}\,{{\left[ N{{O}_{2}} \right]}^{2}}\]
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 :
\[2N{{O}_{2}}{{N}_{2}}{{O}_{4}}\] Rate \[=\frac{1}{2}\frac{d\,[N{{O}_{2}}]}{dt}\] \[={{k}_{1}}{{[N{{O}_{2}}]}^{2}}-{{k}_{2}}[{{N}_{2}}{{O}_{4}}]\] 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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