.) Assume that the pressure is increased by a factor of 1.5 during the adiabatic compression stroke, so that the pressure after this step is P2 = 1.5 P1, where P1 is the initial pressure. Write an equation for the volume V2 in terms of the volume before this step V1.  b.)  Write an equation for the temperature T2 after the adiabatic compression in terms of the temperature T1 before this step.  c.) Assume the pressure is doubled after the isochoric step, such that the pressure after this step is P3 = 2.0 P2. Write an equation for the temperature after this step T3 in terms of a number (carried to two digits) multiplied by the temperature T2 before this step.

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
Section: Chapter Questions
Problem 53PQ
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A monatomic gas in a certain gasoline engine undergoes an Otto cycle.

a.) Assume that the pressure is increased by a factor of 1.5 during the adiabatic compression stroke, so that the pressure after this step is P2 = 1.5 P1, where P1 is the initial pressure. Write an equation for the volume V2 in terms of the volume before this step V1

b.)  Write an equation for the temperature T2 after the adiabatic compression in terms of the temperature T1 before this step. 

c.) Assume the pressure is doubled after the isochoric step, such that the pressure after this step is P3 = 2.0 P2. Write an equation for the temperature after this step T3 in terms of a number (carried to two digits) multiplied by the temperature T2 before this step. 

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