A cylinder of ideal gas is closed by an 8kg movable piston of area 60cm2. The atmospheric pressure is 100kPa. When the gas is heated from 30∘C to 100∘C, the piston rises 20cm. The piston is then fastened in place and the gas is cooled back to 30∘C. If ΔQ1 is the heat added to the gas during heating and ΔQ2 is the heat lost during cooling, find the difference.