A sample of an ideal gas in a cylinder of volume 4.02 L at 298 K and 2.51 atm expands to 8.75 L by two different pathway Path A is an isothermal, reversible expansion. Path B has two steps. In the first step, the gas is cooled at constant volume ta 1.19 atm . In the second step, the gas is heated and allowed to expand against a constant external pressure of 1.19 atm until the final volume is 8.75 L. Calculate the work for path A. w = J Calculate the work for path B.

Elements Of Electromagnetics
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A sample of an ideal gas in a cylinder of volume 4.02 L at 298 K and 2.51 atm expands to 8.75 L by two different pathways.
Path A is an isothermal, reversible expansion. Path B has two steps. In the first step, the gas is cooled at constant volume to
1.19 atm. In the second step, the gas is heated and allowed to expand against a constant external pressure of 1.19 atm until
the final volume is 8.75 L.
Calculate the work for path A.
w =
J
Calculate the work for path B.
w =
J
Question Source: Atkins 7e - Chemical Principles| Publisher:
Transcribed Image Text:A sample of an ideal gas in a cylinder of volume 4.02 L at 298 K and 2.51 atm expands to 8.75 L by two different pathways. Path A is an isothermal, reversible expansion. Path B has two steps. In the first step, the gas is cooled at constant volume to 1.19 atm. In the second step, the gas is heated and allowed to expand against a constant external pressure of 1.19 atm until the final volume is 8.75 L. Calculate the work for path A. w = J Calculate the work for path B. w = J Question Source: Atkins 7e - Chemical Principles| Publisher:
Expert Solution
Step 1

Given data:

The initial volume of the ideal gas is V1=4.02 L=4.02×10-3 m3

The initial temperature of the ideal gas is T1=298 K

The initial pressure of the ideal gas is P1=2.51 atm=254.3 kPa

The final volume of the ideal gas is V2=8.75 L=8.75×10-3 m3

The final pressure of the ideal gas is P1=1.19 atm=120.58 kPa

 

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