A) \[\frac{1}{3}\frac{d\left[ A \right]}{dt}=\frac{d\left[ C \right]}{dt}=k{{\left[ A \right]}^{n}}{{\left[ B \right]}^{m}}\]
B) \[-\frac{d\left[ A \right]}{dt}=\frac{d\left[ C \right]}{dt}=k{{\left[ A \right]}^{n}}{{\left[ B \right]}^{m}}\]
C) \[+\frac{1}{3}\frac{d\left[ A \right]}{dt}=-\frac{d\left[ C \right]}{dt}=k{{\left[ A \right]}^{n}}{{\left[ B \right]}^{m}}\]
D) \[-\frac{1}{3}\frac{d\left[ A \right]}{dt}=\frac{d\left[ C \right]}{dt}=k{{\left[ A \right]}^{n}}{{\left[ B \right]}^{m}}\]
Correct Answer: D
Solution :
For the reaction\[3A+2B\xrightarrow[{}]{{}}C+D\] Rate of disappearance of A = Rate of appearance of C reaction \[=-\frac{1}{3}\frac{d[A]}{dt}=\frac{d[C]}{dt}=k{{[A]}^{n}}{{[B]}^{m}}\]
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