Final answer:
The rate law for the conversion of cyclopropane to propene is first order in cyclopropane. The half-life of the reaction can be calculated using the formula t1/2 = ln(2) / k. The fraction of cyclopropane remaining after a certain amount of time can be calculated using the equation [cyclopropane] / [cyclopropane]0 = e-kt.
Step-by-step explanation:
The rate law for the conversion of cyclopropane to propene is first order in cyclopropane. This means that the rate of the reaction is directly proportional to the concentration of cyclopropane. If the rate constant at a particular temperature is known, it can be used to calculate the rate of the reaction at that temperature.
To calculate the half-life of the reaction, we can use the equation t1/2 = ln(2) / k, where k is the rate constant. The fraction of cyclopropane remaining after a certain amount of time can be calculated using the equation [cyclopropane] / [cyclopropane]0 = e-kt, where [cyclopropane] is the concentration of cyclopropane at a given time, [cyclopropane]0 is the initial concentration, k is the rate constant, and t is the time elapsed.