You are carrying out a reaction in the laboratory. You need to convert 1.00 mole of reactant X into products. This reaction shows first-order kinetics, and the reaction mixture has a constant volume of 1.00 L. At 1:00pm, you start the reaction at 25\deg C with 1.00 mole of reactant X. At 2:00pm, you find that 0.70 moles of reactant X remain. You immediately increase the temperature of the reaction mixture to 35\deg C. At 3:00pm, you discover that 0.25 moles of reactant X are still present. You want to be able to finish the reaction by 4:00pm, but you cannot stop the reaction until only 0.01 moles of reactant X remain. You must increase the temperature again. What is the minimum temperature required to complete the reaction by 4:00pm? (Remember, the reaction is complete when only 0.01 moles of X remain.)

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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You are carrying out a reaction in the laboratory. You need to convert 1.00 mole of reactant X into products. This reaction
shows first-order kinetics, and the reaction mixture has a constant volume of 1.00 L. At 1:00pm, you start the reaction
at 25\deg C with 1.00 mole of reactant X. At 2:00pm, you find that 0.70 moles of reactant X remain. You immediately
increase the temperature of the reaction mixture to 35\deg C. At 3:00pm, you discover that 0.25 moles of reactant X
are still present. You want to be able to finish the reaction by 4:00pm, but you cannot stop the reaction until only 0.01
moles of reactant X remain. You must increase the temperature again. What is the minimum temperature required to
complete the reaction by 4:00pm? (Remember, the reaction is complete when only 0.01 moles of X remain.)
Transcribed Image Text:You are carrying out a reaction in the laboratory. You need to convert 1.00 mole of reactant X into products. This reaction shows first-order kinetics, and the reaction mixture has a constant volume of 1.00 L. At 1:00pm, you start the reaction at 25\deg C with 1.00 mole of reactant X. At 2:00pm, you find that 0.70 moles of reactant X remain. You immediately increase the temperature of the reaction mixture to 35\deg C. At 3:00pm, you discover that 0.25 moles of reactant X are still present. You want to be able to finish the reaction by 4:00pm, but you cannot stop the reaction until only 0.01 moles of reactant X remain. You must increase the temperature again. What is the minimum temperature required to complete the reaction by 4:00pm? (Remember, the reaction is complete when only 0.01 moles of X remain.)
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