a = 500 J K-1, During the expansion, the volume and pressure where A and B are constants. Assuming that the expansion is re (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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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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 = aT, where
a = 500 J K-1. During the expansion, the volume and pressure are related by V = AP + B,
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.
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 = aT, where a = 500 J K-1. During the expansion, the volume and pressure are related by V = AP + B, 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.
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