Nonideal Gas Expansion
المؤلف:
Sidney B. Cahn, Gerald D. Mahan And Boris E. Nadgorny
المصدر:
A GUIDE TO PHYSICS PROBLEMS
الجزء والصفحة:
part 2 , p 27
30-8-2016
1551
Nonideal Gas Expansion
A gas obeys the equation of state
where B(τ) is a function of the temperature τ only. The gas is initially at temperature τ and volume V0 and is expanded isothermally and reversibly to volume V1 = 2V0.
a) Find the work done in the expansion.
b) Find the heat absorbed in the expansion.
Some Maxwell relations:
SOLUTION
a) The work done in the expansion
(1)
b) To find the heat absorbed in the expansion use the Maxwell relations given in the problem:
(2)
where the prime indicates the derivative with respect to τ. Integrating (2), we obtain
(3)
where f(τ) is some function of τ. The heat absorbed in the expansion
(4)
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