To find the rate constant we can write a rate expression for the following reaction:
2A + B → C
A rate expression is written as some rate constant multiplied by the concentrations of the reactants, with each concentration raised to the power of the molar coefficient. [A] has a coefficient of 2, and [B] has a coefficient of 1. Therefore, we get the following rate expression:
rate = k[A]²[B]
We are given a table of values and we can enter the three variable to solve for k.
k = (rate)/([A]²[B])
k = (0.035)/((0.05)²(0.05))
k = 280
We can confirm if the value for k is correct by using another set of concentrations, along with the rate constant and solve for the rate.
rate = 280 [0.10]²[0.05]
rate = 280 (0.01)(0.05)
rate = 0.14
The value we solved for agrees with the rate provided in the table, therefore we know our value for the rate constant is correct which is k = 280.
