Question : A cylinder with movable piston contain 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 of its original volume? [2.639]
Doubt by Jayant
Solution :
This is an adiabatic process.
n = 3
V1 = V
V2 = V/2
P2/P1 = ?
For Adiabatic Process
PVγ = constant
P1V1γ=P2V2γ
V1γ/V2γ = P2/P1
P2/P1 = (V1/V2)γ
P2/P1=[V/(V/2)]γ
P2/P1 = 2γ