Q.

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

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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.

answer is D.

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Detailed Solution

V1=V,V2=V/2on P-V diagramArea 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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