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 :

• A. 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 1

Answer: (A)

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

Answer 2

$W_{ext}$ = negative of area with volume-axis
W(adiabatic) > W(isothermal)