For a reaction between A and B the order with respect to A is 2 and the order with respect to B is 3. The concentration of both A and B are doubled the rate will increase by a factor of :

Question

For a reaction between A and B the order with respect to A is 2 and the order with respect to B is 3. The concentration of both A and B are doubled the rate will increase by a factor of : (A) 12 (B) 16 (C) 32 (D) 10

Tardigrade Admin · Accepted Answer

Given, Order of A=2 ; Order of B=3 ; Rate propto[A]2[B]3 If both concentrations of A and B are doubled. Rate propto[2 A]2[2 B]3 Rate propto 32[A]2[B]3 Rate increases by a factor of 32 .

Q. For a reaction between A and B the order with respect to A is 2 and the order with respect to B is 3. The concentration of both A and B are doubled the rate will increase by a factor of :

12

16

32

10

Given, Order of $A = 2;$
Order of $B = 3;$
Rate $\propto [A]^{2} [B]^{3}$
If both concentrations of $A$ and $B$ are doubled.
Rate $\propto [2 A]^{2} [2 B]^{3}$
Rate $\propto 32 [A]^{2} [B]^{3}$
Rate increases by a factor of $32.$

Q. For a reaction between A and B the order with respect to A is 2 and the order with respect to B is 3. The concentration of both A and B are doubled the rate will increase by a factor of :

12

16

32

10

Given, Order of A=2; Order of B=3; Rate ∝[A]2[B]3 If both concentrations of A and B are doubled. Rate ∝[2A]2[2B]3 Rate ∝32[A]2[B]3 Rate increases by a factor of 32.

Given, Order of $A = 2;$
Order of $B = 3;$
Rate $\propto [A]^{2} [B]^{3}$
If both concentrations of $A$ and $B$ are doubled.
Rate $\propto [2 A]^{2} [2 B]^{3}$
Rate $\propto 32 [A]^{2} [B]^{3}$
Rate increases by a factor of $32.$