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Thermodynamic Processes

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.
compressing the gas isothermally will require more work to be done.
compressing the gas through adiabatic process will require more work to be done
compressing the gas isothermally or adiabatically will require the same amount of work
which of the case(whether compression through isothermal or through adiabatic process) requires more work will depend upon the atomicity of the gas.

A

compressing the gas isothermally or adiabatically will require the same amount of work

B

compressing the gas isothermally will require more work to be done.

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 through adiabatic process will require more work to be done

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Solution

Verified by Toppr

From the graph we can see that for compression of gas, area under the curve for adiabatic is more than isothermal process.

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

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