Question

Consider the following rate law. rate =k[ A]ˣ Determine the value of x if the rate doubles when [A] is doubled. x=_____.

Answer 1

The value of x in the rate law expression rate = k[A]^x is 1.

Step-by-step explanation:

The rate law expression for the given reaction is rate = k[A]x. To determine the value of x, we can compare the rate when the concentration of A is doubled. According to the question, the rate doubles when [A] is doubled.

Let's consider two scenarios:

Scenario 1: [A] = a, rate = R

Scenario 2: [A] = 2a, rate = 2R

Using the rate law expression, we can write:

R = k(a)x

2R = k(2a)x

Dividing the two equations:

2 = (2x)

Taking the logarithm of both sides:

log2(2) = log2(2x)

1 = x

Therefore, the value of x is 1.