Problem 19.80 A monatomic ideal gas is enclosed in a cubic box of side length .
ID: 1437875 • Letter: P
Question
Problem 19.80
A monatomic ideal gas is enclosed in a cubic box of side length . While preserving the cubic shape, the container volume is decreased until the side length is halved, and this change causes the pressure in the box to triple.
Part A
What is the change in entropy per particle of gas in the box?
Express your answer using three significant digits.
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Problem 19.80
A monatomic ideal gas is enclosed in a cubic box of side length . While preserving the cubic shape, the container volume is decreased until the side length is halved, and this change causes the pressure in the box to triple.
Part A
What is the change in entropy per particle of gas in the box?
Express your answer using three significant digits.
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Explanation / Answer
initial length = L
Vi = initial Volume = L3
final length of each side = L/2
Vf = final Volume = (L/2)3 = L3/8
entropy per particle = ln(Vf/Vi) = ln ((L3/8)/L3) = ln(0.125) = - 2.1