50 moles of an ideal gas initially has a volume of 0.8 m³, a pressure of 160 kPa, and a temperature of 280 K. The volume of the gas increases to 1.2 m³, while its pressure decreases to 80 kPa. At any temperature T, the internal energy of the gas is given by U = aT, 500 J K-1. During the expansion, the volume and pressure are related by V where A and B are constants. Assuming that the expansion is reversible, calculate: (a) The values of the constants A and B. (b) The work done by the gas during the expansion. (c) The heat absorbed by the gas during the expansion. where a = = AP + B,

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter20: Kinetic Theory Of Gases
Section: Chapter Questions
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part a,b and c

Please show all working.
1. 50 moles of an ideal gas initially has a volume of 0.8 m³, a pressure of 160 kPa, and a
temperature of 280 K. The volume of the gas increases to 1.2 m³, while its pressure decreases
to 80 kPa. At any temperature T, the internal energy of the gas is given by U
500 J K-1. During the expansion, the volume and pressure are related by V
where A and B are constants. Assuming that the expansion is reversible, calculate:
(a) The values of the constants A and B.
(b) The work done by the gas during the expansion.
(c) The heat absorbed by the gas during the expansion.
(d) The change in the entropy of the gas due to the expansion.
aT, where
АP + В,
a =
Transcribed Image Text:Please show all working. 1. 50 moles of an ideal gas initially has a volume of 0.8 m³, a pressure of 160 kPa, and a temperature of 280 K. The volume of the gas increases to 1.2 m³, while its pressure decreases to 80 kPa. At any temperature T, the internal energy of the gas is given by U 500 J K-1. During the expansion, the volume and pressure are related by V where A and B are constants. Assuming that the expansion is reversible, calculate: (a) The values of the constants A and B. (b) The work done by the gas during the expansion. (c) The heat absorbed by the gas during the expansion. (d) The change in the entropy of the gas due to the expansion. aT, where АP + В, a =
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