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The equation of the molar the heat capa...

The equation of the molar the heat capacity for an ideal gas in given by :
`C = (R)/(gamma-1)+(P)/(n)((dV)/(dT))`
When , R is universal gas constant, gamma is a dimesnion constant , P is opressure, V is volume 'n' is number of mole, T is temperature
Then find the SI units for the molar heat capacity .

A

`J mol//K`

B

`mol J//K`

C

`mol//K`

D

`J//molK`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • The molar heat capacity for a gas at constant T and P is

    A
    `3/2` R
    B
    `5/2` R
    C
    depends upon the atomicity of the gas
    D
    infinity

  • The molar heat capacity of an ideal gas in a process varies as C=C_(V)+alphaT^(2) (where C_(V) is mola heat capacity at constant volume and alpha is a constant). Then the equation of the process is

    A
    `Ve^(-((alphaT^(2))/(2R)))=` Constant
    B
    `Ve^(-((alphaT^(2))/(R)))=` constant
    C
    `Ve^(-((2alphaT^(2))/(R)))=` constant
    D
    `Ve^(-((3alphaT^(2))/(2R)))=` constant

  • For polytropic process PV^(n) = constant, molar heat capacity (C_(m)) of an ideal gas is given by:

    A
    `C_(v,m)+(R)/((n-1))`
    B
    `C_(v,m)+(R)/((1-n))`
    C
    `C_(v,m)+R`
    D
    `C_(p,m)+(R)/((n-1))`

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