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n moles of a gas fille in a a container temperature T is in thermodynamic equilibrium initially. If the gas is compressed slowly and isothermally so half its initial volume volume the work done by the atmosphere on the piston is :

A

`(nRT)/(2)`

B

`-(nRT)/(2)`

C

`nRT("ln" 2 - 1/2)`

D

`-nRT "ln" 2`

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • n moles of a gas are filled in a container at temperature T. If the gas is slowly and isothermally compressed to half its initial volume, the work done by the atmosphere on the gas is

    A
    `(nRT)/(2)`
    B
    `-(nRT)/(2)`
    C
    `nRT In 2`
    D
    `-nRT In 2`

  • When one mole of an ideal gas is compressed to half of its initial volume then DeltaS is

    A
    Zero
    B
    Positive
    C
    Maximum
    D
    Negative

  • Comprehension-2 A mono atomic ideal gas is filled in a non conducting container. The gas can be compressed by a movable non conducting piston. The gas is compressed slowly to 12.5% of its initial volume. The ratio of work done by the gas to the change in internal energy of the gas is

    A
    `1`
    B
    `-1`
    C
    `oo`
    D
    `0`