Question

The data in the table below were obtained for the reaction: A+B C Experiment Number [A] (M) [B] (M) 10.451 0.885 | 0.451 1.77 1.35 0.885 Initial Rate (M/s) 1.13 1.13 10.17 What is the order of the reaction in A? A) 1 B) 2 C) 3 D) 4 E) 0

Answer 1

Ans :-

The given reaction is :

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

Let rate of the reaction = k [A]m.[B]n ...........................(1)

Where, k = Rate constant

m = Order with respect to A and

n = Order with respect to B

Now, use first trial on equation (1) :

1.13 = k (0.451)m.(0.885)n ..........................(2)

Use second trial on equation (1) :

1.13 = k (0.451)m.(1.77)n ..........................(3)

Use third trial on equation (1) :

10.17 = k (1.35)m.(0.885)n ..........................(4)

Divide equation (2) by (3)

1.13 / 1.13 = k (0.451)m.(0.885)n / k (0.451)m.(1.77)n

1 = (0.5)n

(0.5)0 = (0.5)n

On comparing

n = 0

Divide equation (2) by (4)

1.13 / 10.17 = k (0.451)m.(0.885)n / k (1.35)m.(0.885)n

0.11 = (0.334)m

(0.334)2 = (0.334)m

On comparing

m = 2

Therefore order with respect to A = m = 2 (Option (B))

So, Option (B) is the answer.