Final answer:
The question involves using the integrated rate law for a first-order reaction to calculate the partial pressure and concentration of cyclobutene after 30 minutes, knowing the initial pressure and rate constant.
Step-by-step explanation:
The question pertains to first-order reactions and involves determining the rate constant and predicting concentrations and pressures of reactants at certain times. Given that the isomerization of cyclobutene to butadiene is first-order with a known rate constant, we apply the integrated rate law for a first-order reaction to find the partial pressure of cyclobutene after a certain time. The rate constant provided is 2.0 x 10-4 s-1 at 150 °C, and we are asked to calculate the partial pressure of cyclobutene and its concentration after 30 minutes with an initial pressure of 55 torr. To solve this, we use the formula for first-order reactions: ln(P0/P) = kt, where P0 is the initial pressure, P is the pressure at time t, k is the rate constant, and t is time in seconds. The query also mentions the doubling effect on the reaction rate when the cyclopropane concentration is doubled, as per the first-order kinetic behavior.