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A sample of methane of mass 4.5 g initially at a pressure of 10 atm and 300K is allowed to expand isothermally until its final pressure is 1.00 atm. How much work is done if the expansion is carried out - (a) against a vacuum - (b) against a constant external pressure of 1.0 atm - (c) reversibly d) reversibly and adiabatically, instead of isothermally. Assume ideal behavior and 1 L atm = 101.3 J (R=0.08206 L atm K-¹ mol-¹,Cm= 2.226 J K-¹ mol-¹ and Cp,m = 4.452 J K-¹ mol-¹)

A sample of methane of mass 4.5 g initially at a pressure of 10 atm and 300K is allowed to expand isothermally until its final pressure is 1.00 atm. How much work is done if the expansion is carried out - (a) against a vacuum - (b) against a constant external pressure of 1.0 atm - (c) reversibly d) reversibly and adiabatically, instead of isothermally. Assume ideal behavior and 1 L atm = 101.3 J (R=0.08206 L atm K-¹ mol-¹,Cm= 2.226 J K-¹ mol-¹ and Cp,m = 4.452 J K-¹ mol-¹)

Physical Chemistry
Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter2: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 2.24E: Calculate the work donewhen 1.000 mole of an ideal gas expands reversiblyfrom 1.0L to 10L at 298.0K....
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In class exercise 8 (cont.) A sample of methane of mass 4.5 g initially at a pressure of 10 atm and 300K is allowed to expand isothermally until its final pressure is 1.00 atm. How much work is done if the expansion is carried out - (a) against a vacuum - (b) against a constant external pressure of 1.0 atm - (c) reversibly d) reversibly and adiabatically, instead of isothermally. Assume ideal behavior and 1 L atm = 101.3 J (R=0.08206 L atm K-¹ mol-¹, Cvm = 2.226 J K-¹ mol-¹ and Cp,m = 4.452 J K-¹ mol-¹)
Transcribed Image Text:In class exercise 8 (cont.) A sample of methane of mass 4.5 g initially at a pressure of 10 atm and 300K is allowed to expand isothermally until its final pressure is 1.00 atm. How much work is done if the expansion is carried out - (a) against a vacuum - (b) against a constant external pressure of 1.0 atm - (c) reversibly d) reversibly and adiabatically, instead of isothermally. Assume ideal behavior and 1 L atm = 101.3 J (R=0.08206 L atm K-¹ mol-¹, Cvm = 2.226 J K-¹ mol-¹ and Cp,m = 4.452 J K-¹ mol-¹)
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