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An ideal gas has a molar heat capacity C...

An ideal gas has a molar heat capacity `C_v` at constant volume. Find the molar heat capacity C, at constant volume. Find the molar heat capacity of this gas as a function of its volume 'V', if the gas undergoes the following process :
`T=T_0 e^(alpha V)`

Text Solution

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`C_v +(R )/(alphaV)`
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An ideal gas has a molar heat capacity C_v at constant volume. Find the molar heat capacity C, at constant volume. Find the molar heat capacity of this gas as a function of its volume 'V', if the gas undergoes the following process : P=P_(0)e^(alpha V)

One mole of an ideal gas with heat capacity at constant pressure C_p undergoes the process T=T_0 + alpha V, where T_0 and ' alpha ' are constant. Find heat capacity of the gas as function of its volume,

Knowledge Check

  • The specific heat capacity of a gas at constant pressure is greater than that at constant volume because

    A
    at constant volume, all the heat supplied goes to increase the internal energy of the gas
    B
    at constant volume there is no change in temperature of the gas when heat is supplied
    C
    at constant pressure, there is no change in internal energy of the gas when heat is supplied
    D
    the gas expands when its temperature increases at constant pressure

  • The specific heat capacity of a gas at constant pressure is greater than that at constant volume because

    A
    at constant volume, all the heat supplied goes to increase the internal energy of the gas
    B
    at constant there is no change in temperature of the gas when heat is supplied
    C
    at constant pressure, there is no change in internal energy of the gas when heat is supplied
    D
    the gas expands when its temperature increase at constant pressure

  • Molar specific heat at constant volume is C for a monoatomic gas is

    A
    `(3)/(2)R`
    B
    `(5)/(2)R`
    C
    3R
    D
    2R

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