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A fixed mass of a gas is adiabatically m...

A fixed mass of a gas is adiabatically made to expand to double its volume and then isochorically heated to bring the gas to the original pressure. The ratio of final to initial temperature will be

A

`1 : 1`

B

`2 : 1`

C

`1 : 2`

D

Depends on the atomicity of the gas.

Text Solution

Verified by Experts

The correct Answer is:
B
Such problens can be tackled easily, by considering only the final and intial states and applying the equation of state for `n = constant, ie., `PV//T` = constant`
Evidently the pressure is the same but volume gets doubled and so, `T` also gets doubled.
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Knowledge Check

  • A fixed mass of a gas is first heated isobarically to double the volume and then cooled isochorically

    A
    2
    B
    `1//2`
    C
    1n 2
    D
    1n 3

  • A fixed mass of a gas is first heated isobarically to double the volume and then cooled isochorically to decrease the temperature back to the initial value. By what factor would the work done by the gas decreases, had the process been isothermal?

    A
    2
    B
    `1/2`
    C
    ln 2
    D
    ln 3

  • A gas is compressed adiabatically till its temperature is doubled. The ratio of its final volume to initial volume will be

    A
    `1//2`
    B
    more than `1//2`
    C
    less than `1//2`
    D
    between 1 and 2
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