A decomposition reaction if found to be first order with respect to the reactant. What is the relationship between the rate and concentration of the reactant?

A) The rate is inversely proportional to the square of the concentration
B) The rate is inversely proportional to the common logarithm of the concentration
C) The rate is directly proportional to the concentration
D) The rate is directly proportional to the common logarithm of the concentration

I think it is A, just want to clarify.

To determine the relationship between the rate and concentration of the reactant in a first-order decomposition reaction, we need to recall the rate law expression for a first-order reaction.

A first-order reaction follows the rate law equation: rate = k[A], where [A] represents the concentration of the reactant and k is the rate constant.

In a first-order reaction, the rate is directly proportional to the concentration of the reactant. Therefore, the correct answer is:

C) The rate is directly proportional to the concentration.

No Ben. Isn't the rate equation rate = k[A]^1 for a first order reaction? There isn't anything inverse about that is there?