Rate = k[A] = first order reaction
Further explanation
Given
Rate law
Required
A first-order reaction
Solution
The rate law : equation for the rate of chemical reaction
For reaction
aA + bB ⇒ C
The rate : r = k[A]ᵃ[B]ᵇ
The sum of exponents(a+b) is the reaction order
From the choice :
a. a+b = 2, second order reaction
b. a+b = 3, third order reaction
c. a+b = 4, fourth order reaction
d a+0 = 1, first order reaction