The half-life of a reaction was found to be inversely dependent on the concentration of the starting material. Thus, we can say that

a. the reaction is zero order b. the reaction is first order c. the reaction is second order

d. the reaction starts out first order and changes to second order after one half-life.

e. the reaction starts out second order and changes to first order after one half-life.

Need some help

Write these down some place where you can keep it until you can (a) derive them or (b) memorize them.

half life:
zero order is (Ao)/2a*k

order 1 is 0.693/ak

order 2 is 1/a*k*(Ao)

both a and k are constants; a is the coefficient and k is the rate contant.
(Ao) = initial concn

dosent answer the question?

To determine the order of a reaction based on the relationship between the half-life and the concentration of the starting material, you can follow these steps:

1. Understand the concept of reaction order: In chemical kinetics, the order of a reaction refers to the exponent to which the concentration of the reactants is raised in the rate equation of the reaction.

2. Look at the half-life and concentration relationship: In this case, the half-life of the reaction is inversely dependent on the concentration of the starting material. This means that as the concentration of the starting material increases, the half-life decreases, and vice versa.

3. Analyze the possible orders: Based on the information given, the options to consider are zero order, first order, and second order.

a. If the half-life did not depend on the concentration of the starting material (i.e., remained constant), the reaction would be zero order.

b. If the half-life decreased linearly with decreasing concentration of the starting material, the reaction would be first order.

c. If the half-life decreased exponentially with decreasing concentration of the starting material, the reaction would be second order.

4. Apply the information: Since the half-life is inversely dependent on the concentration of the starting material, it means that as the concentration decreases, the half-life increases exponentially. This implies that the reaction is second order.

Therefore, the correct answer is c. the reaction is second order.