A) \[\text{rate}=k[A][B]\]
B) \[\text{rate}=k{{[A]}^{2}}\]
C) \[\text{rate}=k{{[A]}^{2}}{{[B]}^{1}}\]
D) \[\text{rate}=k{{[A]}^{2}}{{[B]}^{2}}\]
Correct Answer: B
Solution :
Let the rate of reaction depends on xth power of [A]. Then \[{{r}_{1}}=k{{[A]}^{x}}\] and \[{{r}_{2}}=k{{[2A]}^{x}}\] \[\therefore \frac{{{r}_{1}}}{{{r}_{2}}}=\frac{{{[A]}^{x}}}{{{[2A]}^{x}}}=\frac{1}{4}={{\left( \frac{1}{2} \right)}^{2}}\] \[(\because {{r}_{2}}=4{{r}_{1}})\] \[\therefore x=2\]. As the reaction rate does not depend upon the concentration of B. Hence, the correct rate law will be \[\text{rate}=K{{[A]}^{2}}{{[B]}^{o}}\] or \[=K{{[A]}^{2}}\]
You need to login to perform this action.
You will be redirected in
3 sec
