Question 3 of 4 · The First Law in Closed-System Processes · Advanced · About 24 min
Polytropic compression in a sampling cylinder
A sealed ideal-gas sampling cylinder initially has , and . A slow compression follows until . Use , . Find the final pressure, final temperature, boundary work by the gas and heat transfer.
Given
P1 115 kPa
V1 0.480 m³
T1 305 K
V2 0.200 m³
n 1.32
R 0.287 and cv 0.718 kJ/(kg K)
Find
Final absolute pressure
Final temperature
Boundary work by gas
Heat into gas
Assumptions
Calorically perfect ideal gas; quasistatic polytropic compression; no other work.
Worked solution
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