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Air is trapped in a piston-cylinder arrangement at temperature T1 and Q1 is the heat required with piston stoppers and Q2 is the heat required when piston is free to move to take the air to a temperature T2. Then

Air is trapped in a piston-cylinder arrangement at temperature T1 and Q1 is the heat required with piston stoppers and Q2 is the heat required when piston is free to move to take the air to a temperature T2. Then Correct Answer Q<sub>1</sub> &lt; Q<sub>2</sub>

Concept:

with piston stoppers, the piston won't be able to move. Therefore volume is constant.

the process will be constant volume heat addition

⇒ Q1 = m Cv (T2 - T1)

with the piston free to move, the pressure is constant as there is no external pressure or force.

the process will be constant pressure heat addition

⇒ Q2 = m Cp (T2 - T1)

we know Cp > Cv ⇒ Q2 > Q1

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