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

Easy

A

Compressing the gas isothermally or adiabatically will require the same amount of work.
B

Which of the case (whether compression through isothermal or through adiabatic process) requires more work will depend upon the atomicity of the gas.
C

Compressing the gas isothermally will require more work to be done.
D

Compressing the gas through adiabatic process will require more work to be done.

Solution

$V_{1} = V, V_{2} = V / 2$
on P-V diagram
Area under adiabatic curve
$>$ Area under isothermal curve. So compressing the gas through adiabatic process will require more work to be done.

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