An ideal monoatomic gas is confined by a spring loaded massless piston of cross-section 8.0×10−3 m2 . Initially, the gas is at 300 K and occupies a volume of 2.4×10−3 m3 and the spring is in its relaxed state. The gas is heated by an electric heater until the piston moves out slowly without friction by 0.1 m. Calculate
The force constant of the spring is 8000 N/m, atmospheric pressure is 1.0×105 N/m2 . The cylinder and the piston are thermally insulated.
a. the final temperature of the gas and
b. the heat supplied by the heater.