NEET 2016 Physics question

A gas is compressed isothermally to half its initial volume. The same gas is compressed separately through an adiabatic process until its volume is again reduced to half. Then:

(1)Compressing the gas isothermally will require more work to be done.
(2)Compressing the gas through adiabatic process will require more work to be done.Correct
(3)Compressing the gas isothermally or adiabatically will require the same amount of work.
(4)Which of the case (whether compression through isothermal or through adiabatic process) requires more work will depend upon the atomicity of the gas.

Answer: (2)

Solution

The work done on the gas equals the area under the - curve. On a - diagram the adiabatic curve (, ) is steeper than the isothermal curve () through the same initial point. When the volume is halved, the adiabatic compression therefore ends at a

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Question ID VK-091864