A gas is compressed isothermally to half...

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

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

compressing the gas isothermally will require more work to be done

Text Solution

Verified by Experts

The correct Answer is:

Here, AB curve is represented for adiabatic compression and AC curve is represented for isothermal compression.

Work done for adiabatic compression = area ABDE
Work done for isothermal compression = area ACDE
As adiabatic curve is always steeper than the isothermal curve, then
area ABDE > area ACDE
This means that higher amount of work will be done in adiabatic process.

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A gas is compressed isothermally.The r.m.s. veloicty of its molecules

increases

decreases

first increases and then decreases

remain the same

An ideal gas is compressesd to half its initial volume by means of several processes. Which of the process results in the maximum work done on the gas ?

Isobaric

Isochoric

Isothermal

Adiabatic

A diatomic gas at pressure P, compressed adiabatically to half of its volume, what is the final pressure-

`(2)^(1.4)P`

`P//(2)^(1.4)`

`(2)^(5/3)P`

`P//(2)^(5//3)`