An ideal monoatomic gas is confined in a cylinder by a spring loaded piston of cross section 8.0 10⁻³ ~m ^2 . Initially the gas is at 300 ~K and occupies a volume of 2.4 10⁻³ ~m ^3 and the spring is in its relaxed state as shown in figure. The gas is heated by a small heater until the piston moves out slowly by 0.1 ~m . The force constant of the spring is 8000 ~N / m and the atmospheric pressure is 1.0 10^5 ~N / m ^2