Thermodynamics
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Question : 4
Total: 10
A cylinder with a movable piston contains 3 moles of hydrogen at standard temperature and pressure. The walls of the cylinder are made of a heat insulator, and the piston is insulated by having a pile of sand on it. By what factor does the pressure of the gas increase if the gas is compressed to half its original volume?
Solution:
As the gas is completely insulated, the process is adiabatic.
P 1 V 1 γ = P 2 V 2 γ
⇒
= (
) γ
= (
) 1.4 (
)
= ( 2 ) 1.4 = 2.64
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