A student wants to determine the rate law for the reaction between compound A and compound B. The student measures the initial rate of the reaction under different conditions and records the following data:| Experiment | [A] (M) | [B] (M) | Initial Rate (M/s) ||------------|---------|---------|-------------------|| 1 | 0.1 | 0.1 | 4.22x10^-4 || 2 | 0.2 | 0.1 | 8.44x10^-4 || 3 | 0.1 | 0.2 | 1.69x10^-3 |What is the rate law expression for this reaction in terms of the rate constant, k?

Question

A student wants to determine the rate law for the reaction between compound A and compound B. The student measures the initial rate of the reaction under different conditions and records the following data:| Experiment | [A] (M) | [B] (M) | Initial Rate (M/s) |

Answer 1

To determine the rate law expression, we need to find the order of the reaction with respect to each reactant  A and B . We can do this by comparing the initial rates and concentrations of the reactants in different experiments.First, let's compare experiments 1 and 2, where the concentration of B is constant, and the concentration of A is doubled: 8.44x10^-4 M/s  /  4.22x10^-4 M/s  = 2Since the rate doubles when the concentration of A doubles, the reaction is first order with respect to A.Now, let's compare experiments 1 and 3, where the concentration of A is constant, and the concentration of B is doubled: 1.69x10^-3 M/s  /  4.22x10^-4 M/s  = 4Since the rate quadruples when the concentration of B doubles, the reaction is second order with respect to B.Now we can write the rate law expression:rate = k[A]^1[B]^2