A certain amount of ideal gas is trapped in a container under a piston, subject to atmospheric pressure.

A certain amount of ideal gas is trapped in a container under a piston, subject to atmospheric pressure. Compare the amount of heat Q1 received by this gas in a process in which the piston is fixed with the amount of heat Q2 received by the gas in a process in which the piston can move freely, if the temperature of the gas increases

in both processes by the same amount. Give thorough explanations using the first law of thermodynamics.