Chapter 12, Problem 12.124CHP

Assume that you are studying the first-order conversion of a reactant X to products in a reaction vessel with a constant volume of 1.000 L. At 1:00 p.m., you start the reaction at 25 °C with 1.000 mol of X. At 2:00 p.m., you find that 0.600 mol of X remains, and you immediately increase the temperature of the reaction mixture to 35 °C. At 3:00 p.m., you discover that 0.200 mol of X is still present. You want to finish the reaction by 4:00 p.m. but need to continue it until only 0.010 mol of X remains, so you decide to increase the temperature once again. What is the minimum temperature required to convert all but 0.010 mol of X to products by 4:00 p.m.?