A cylinder that has a 40.0-cm radius and is 50.0 cm deep is filled with air at 20.08C and 1.00 atm. A 20.0-kg piston is now lowered into the cylinder, compressing the air trapped inside as it takes equilibrium height hi. Finally, a 25.0-kg dog stands on the piston, further compressing the air, which remains at 208C.
(a) How far down (Dh) does the piston move when the dog steps onto it?
(b) To what temperature should the gas be warmed to raise the piston and dog back to hi?