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Inside a moving part of a thermal machine a gas is confined in a cylinder by...

Inside a moving part of a thermal machine a gas is confined in a cylinder by a spring-loaded piston of cross section 5 cm2. Initially the gas occupies a volume at STP and the spring in its relaxed state, Now the gas is heated by a heater until the piston moves outwards by 0.2 m. Evaluate how many times the final temperature of the gas increases if its cross-sectional area increases by two times. Justify that confined gas is an Ideal. (Given that Force constant of spring is 7000 N/m.)

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