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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:

  1. A
    Compressing the gas through adiabatic process will require more work to be done.
  2. B
    Compressing the gas isothermally or adiabatically will require the same amount of work.
  3. C
    Which of the case requires more work will depend upon the atomicity of the gas.
  4. D
    Compressing the gas isothermally will require more work to be done.

Solution & Step-by-step Explanation

In a diagram, the adiabatic curve is steeper than the isothermal curve. During compression to half volume, the area under the adiabatic curve (representing work done on the gas) is greater than the area under the isothermal curve.image

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Try it yourself before checking the explanation above.

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 requires more work will depend upon the atomicity of the gas.
D
Compressing the gas isothermally will require more work to be done.

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ThermodynamicsIsothermal Adiabatic

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