Home
Class 11
PHYSICS
If Q amount of heat is given to a diatom...

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.

Text Solution

Verified by Experts

The correct Answer is:
`7.5R`
`Q = nCDeltaT`
As `Q = nC DeltaT` ………..(i)
Also `DeltaU = Q - (2Q)/(3) = (Q)/(3)`
`nC_(v)DeltaT = (Q)/(3), (n5RDeltaT)/(2) = (Q)/(3)`
`rArr nDeltaT = (2Q)/(15R) ………(ii)`
From (1) and (ii)
`C = (Q15R)/(2Q) = 7.5R`.
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KTG & THERMODYNAMICS

    RESONANCE|Exercise SECTION (D)|2 Videos

  • KTG & THERMODYNAMICS

    RESONANCE|Exercise SECTION (I)|2 Videos

  • KTG & THERMODYNAMICS

    RESONANCE|Exercise SECTION (A)|3 Videos

  • KINETIC THEORY OF GASES AND THERMODYNAMICS

    RESONANCE|Exercise Exercise|64 Videos

  • MAGNETIC FIELD AND FORCES

    RESONANCE|Exercise Exercise|65 Videos

Similar Questions

Explore conceptually related problems

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.

(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.

Knowledge Check

  • 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

  • 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

  • The molar heat capacity of a gas in a process

    A
    is either `C_(V) or C_(P)`
    B
    lies between `C_(V) or C_(P)`
    C
    may range from zero to infinity
    D
    can have any real value

    • Similar Questions

    Explore conceptually related problems

    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 .

    The molar heat capacity for an ideal gas

    "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

    An ideal diatomic gas undergoes a process in which the pressure is proportional to the volume. Calculate the molar specific heat capacity of the gas for the process.

    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?

    Home
    Profile