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An amount Q of heat is added to a mono a...

An amount `Q` of heat is added to a mono atomic ideal gas in a process in which the gas performs a work `Q//2` on its surrounding. Find equation of the process.

A

`TV^(1//3)=` constant

B

`TV^(-1//4)=` constant

C

`TV^(1//4)=` constant

D

`TV^(-1//3)=` constant

Text Solution

Verified by Experts

The correct Answer is:
A
`DeltaU=DeltaW` (polytropic process)
`(nRDeltaT)/(gamma-1)=(nRDeltaT)/(r-1)impliesr=(1)/(3)`
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Knowledge Check

  • What is the molar heat capacity for the process, when 10J of heat added to a monoatomic ideal gas in a process in which the gas performs a work of 5J on its surrrounding?

    A
    2R
    B
    3R
    C
    4R/3
    D
    5R

  • 600J of heat is added to a monoatomic gas in a process in which the gas performs a work of 150J. The molar heat capacity for the process is

    A
    3R
    B
    4R
    C
    2R
    D
    6R

  • If heat is supplied to an ideal gas in an isothermal process,

    A
    The internal energy of the gas will increase
    B
    The gas will do positive work
    C
    The gas will do negative work
    D
    The said process is not possible
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