In a reaction if the concentration of reactant A is tripled, the rate of reactionbecomes twenty seven times. What is the order of the reaction

The order of a reaction is determined by the relationship between the rate of the reaction and the concentration of the reactants. In this case, when the concentration of reactant A is tripled, the rate of the reaction becomes twenty seven times.

This relationship can be expressed mathematically as:

Rate = k[A]^n

where: Rate is the rate of the reaction, k is the rate constant, [A] is the concentration of reactant A, and n is the order of the reaction.

Given that tripling the concentration of A (i.e., multiplying [A] by 3) results in the rate of the reaction becoming twenty seven times (i.e., the Rate is multiplied by 27), we can set up the following equation:

27Rate = k(3[A])^n

Dividing both sides by the original rate (Rate) and the original concentration of A ([A]) gives:

27 = 3^n

To solve for n, we need to find the value that satisfies this equation. In this case, n = 3, because 3^3 = 27.

Therefore, the order of the reaction with respect to reactant A is 3.