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Mechanical Properties Of Fluids

Question
CBSEENPH11020519

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 its half. Then,

  • compressing the gas through adiabatic process will require more work to b done

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

  • which of the case (whether compression through isohermal or through adiabatic process) requires more work will depend upon the atomicity of the gas.

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

Solution

B.

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

Plotting P-V graph for the compression of a gas isothermally and adiabatically simultaneously to half of its initial volume.

An isothermal curve is less steeper than the adiabatic curve. So, area under the P-V curve for adiabatic process has more magnitude than the isothermal curve. Hence, work done in adiabatic process will be more than in isothermal process.