The decomposition of nitrous oxide (N2O) to nitrogen and oxygen is carried out in a 5.00-liter batch reactor at a constant temperature of 1015K, beginning with pure N2O at several initial pressures. The reactor pressure P(t) is monitored, and the times (t1/2) required to achieve 50% conversion of N2O are noted. Use the results to verify that the N2O decomposition reaction is second-order and determine the value of k at T - 1015K