Question

For the reaction A +B -->2C, suppose that you find that the rate=k[A][B]^2. Indicate how the overall reaction rate will change if you... double the concentration of A double the concentration of B double the concentration of both A and B double the concentration of A and halve the concentration of B

Answer 1

A + B ------> 2C

rate =k [ A ] [ B ]^2

1) double the concentration of A

  

rate = k × 2 [ A ] [ B ]^2

= 2 k [ A ] [ B ] ^2

so , the reaction rate will be double

2) double the concentration of B

rate = k × [ A ] × (2 [ A ])^2

= 4 k [A ] [ B ]^2

So , the reaction rate will be 4 fold

3 ) double the concentration of both A and B

rate = k ×2 [ A ] × (2×[ B ])^2

= 8k[A][B]^2

so, the reaction rate will be 8 fold

4) double the concentratoon of A and halve the concentration of B

rate = k × 2 [A ] × ( 1/2 [ B ] )^2

= 2/4 × k × [ A ] [ B ]^2

= (1/2 ) k [ A ] [ B ]^2

so, the reaction rate will be 1/2 fold