Q12.4 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?
As the walls of the cylinder and the piston is insulated the process will be adiabatic. i.e. would be constant.
Hydrogen is a diatomic gas and therefore
Let the initial and final pressure be P1 and P2 respectively.
Let the initial and final volume be T1 and T2 respectively.
The pressure thus increases by a factor 2.639