A gas is compressed isothermally to half its initial volume. The … - Vidyadip

MCQ

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

✓
Compressing the gas through adiabatic process will require more work to be done.
B
Compressing the gas isothermally or adiabatically will require the same amount of work.
C
Which of the case (whether compression through isothermal or through adiabatic process) requires more work will depend upon the atomicity of the gas.
D
Compressing the gas isothermally will require more work to be done.

✓

Answer

Correct option: A.

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

a
${V_1} = V,{V_2} = V/2$

$On\,P - V\,diagram,$

$Area\,under\,adiabatic\,curve>Area\,under\,isothermal\,curve,$

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

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