Home
Class 11
PHYSICS
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)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • THERMAL PROPERTIES OF MATTER

    NARAYNA|Exercise LEVEL - II (H.W.)|19 Videos
  • TRANSMISSION OF HEAT

    NARAYNA|Exercise LEVEL-II(C.W)|27 Videos

Similar Questions

Explore conceptually related problems

(a) A polytropic process for an ideal gas is represented by PV^(x) = constant, where x != 1 . Show that molar specific heat capacity for such a process is given by C = C_(v) + (R)/(1-x) . (b) 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. Show that the process is polytropic and find the molar heat capacity of the gas in the process.

An amount of heat is added to a monatomic ideal gas in a process in which the gas performs work Q/2 on its surrounding. Find the molar heat capacity for the process.

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
  • Similar Questions

    Explore conceptually related problems

    If Q amount of heat is given to a diatomic ideal gas in a process in which the gas perform a work (2Q)/(3) on its surrounding. Find the molar heat capacity (in terms of R ) for the process.

    600 J of heat is added to a monatomic gas in a process in which the gas performs a work of 150 J . The molar heat capacity for the process is KR . Then find K .

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

    If heat is supplied to an ideal gas in an isothermal process.

    For 1 mol of an ideal gas work in process AB will be: