A) \[-\frac{1}{2}\frac{d[A]}{dt}=\frac{-d[B]}{dt}=k[A]{{[B]}^{2}}\]
B) \[\frac{1}{2}-\frac{d[A]}{dt}=\frac{d[B]}{dt}=k[A]{{[B]}^{2}}\]
C) \[\frac{-d[A]}{dt}=-\frac{1}{2}\frac{d[B]}{dt}=k[A]{{[B]}^{2}}\]
D) \[\frac{d[A]}{dt}=\frac{1}{2}\frac{d[B]}{dt}=k[A]{{[B]}^{2}}\]
Correct Answer: C
Solution :
For the reaction \[A+2B\xrightarrow{{}}\]products The differential rate equation is Rate\[=\frac{-d[A]}{dt}=-\frac{1}{2}\frac{d[B]}{dt}\] \[=k[A][B]2\] where,\[k=\]rate constant.
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