The reaction A + B ⟶ C + D rate = k [ A ] [ B ] 2 A+B⟶C+Drate=k[A][B]2 has an initial rate of 0.0570 M / s. 0.0570 M/s. What will the initial rate be if [ A ] [A] is halved and [ B ] [B] is tripled?

Question

Chemistry

Krista Morris

19 May, 08:15

The reaction A + B ⟶ C + D rate = k [ A ] [ B ] 2 A+B⟶C+Drate=k[A][B]2 has an initial rate of 0.0570 M / s. 0.0570 M/s. What will the initial rate be if [ A ] [A] is halved and [ B ] [B] is tripled?

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Scout · Answer 1

0.257 M/s

Explanation:

Let's consider the following reaction.

2 A+B ⟶ C + D

The rate law is:

rate = k * [A] * [B]²

The initial rate is 0.0570 M/s.

rate₀ = 0.0570 M/s = k * [A]₀ * [B]₀²

If [A] = 1/2 [A]₀ and [B] = 3 [B]₀,

rate = k * [A] * [B]²

rate = k * 1/2 [A]₀ * (3 [B]₀) ²

rate = 9/2 k * [A]₀ * [B]₀² = 9/2 rate₀ = 9/2 * 0.0570 M/s = 0.257 M/s