Chapter 14, Problem 14.70SP

At 500 °C, cyclopropane (C₃H₆) rearranges to propene $\left({\text{CH}}_{\text{3}}{\text{- CH=CH}}_{\text{2}}\right).$ The reaction is first order, and the rate constant is $6.7\times {10}^{-4}{s}^{-1}.$ If the initial concentration of $C_3{H}_6$ is 0.0500 M:
(a) What is the molarity of $C_3{H}_6$ after 30 min?
(b) How many minutes does it take for the $C_3{H}_6$ concentration to drop to 0.0100 M?
(c) How many minutes does it take for 25% of the $C_3{H}_6$ toreact?