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Molar heat capacity of a gas at constant...

Molar heat capacity of a gas at constant pressure .

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Molar heat capacity of a gas at constant pressure is defined as the quantity of heat required to raise the temperature of one mole of the gas through one degree `( 1^(@)C or 1 K )`, when its pressure is kept constant .
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Molar heat capacity of a gas at constant volume.

At constant pressure 200g of water is heated from 10^(@)C to 20^(@)C .Thus,increase in entropy is (molar heat capacity of water at constant pressure is 75.3JK^(-1)mol^(-1) )

Knowledge Check

  • Molar heat capacity of a gas is

    A
    Extensive property
    B
    Intensive property
    C
    Chemical property of gas
    D
    Colligative property

  • One mole of an ideal gas has an interal energy given by U=U_(0)+2PV , where P is the pressure and V the volume of the gas. U_(0) is a constant. This gas undergoes the quasi - static cyclic process ABCD as shown in the U-V diagram. The molar heat capacity of the gas at constant pressure is

    A
    `2R`
    B
    `3R`
    C
    `(5)/(2)R`
    D
    `4R`

  • STATEMENT-1: The specific heat capacity of a gas at constant pressure is always greter than its specific heat capacity at constant volume. STATEMENT-2: Work is done by a gas when it expands.

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation, for Statement-1.
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.
    C
    Statement-1 is True, Statement-2 is False.
    D
    Statement-1 is a False, Statement-2 is True.

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    A soap bubble of radius r is inflated with an ideal gas. The atmospheric pressure is p_0 , the surface tension of the soap water solution is alpha . Find the difference between the molar heat capacity of the gas during its heating inside the bubble and the molar heat capacity of the gas under constant pressure, C - C_p .

    An ideal gas expands from 100 cm^(3) to 200 cm^(3) at a constant pressure of 2.0 xx 10^(5) when 50 J of heat is supplied to it. Calculate (a) the change in internal energy of the gas , (b) the number of moles in the gas if the initial temperature is 300K , (C ) the molar heat capacity C_P at constant pressure and (d) the molar heat capacity C_v at constant volume

    Molar heat capacity for a gas at constant temperature and pressure is

    C_(p) and C_(v) denote the molar specific heat capacities of a gas at constant pressure and volume respectively. Then :

    If the molar specific heat capacity at constant volume of an ideal gas is C_(v) = 3/2 R , then what is the corresponding molar specific heat capacity of the ideal gas at constant pressure ?

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