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Identify the following as an extensive o...

Identify the following as an extensive or intensive property: Enthalpy, internal energy, pressure, viscosity, heat capacity, density, electric potential, specific heat capacity, molar volume, surface tension, universal gas constant, vapour pressure, number of moles, refractive index, entropy.

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An extensive property of a system depends upon the mass of the substance present in the system. Its value increases as the amount of substance in the system increases. Enthalpy, internal energy, heat capacity, number of moles, entropy are extensive properties. An intensive property of a system is independent of the amount of the substance present in the system. Pressure, viscosity, density, electric potential, specific heat capacity, molar volume, surface tension, universal gas constant, vapour pressure, refractive index are intensive properties.
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Show that for an ideal gas the difference between the molar heat capacities at constant pressure and at constant volume is equal to the universal gas constant (R).

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Knowledge Check

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

    A
    `(C_(p) - C_(v))` is larger for a diatomic ideal gas than for a monatomic ideal gas
    B
    `(C_(p) + C_(v))` is larger for a diatomic ideal gas than for a monatomic ideal gas
    C
    `C_(p)/C_(v)` is larger for a diatomic ideal gas than for a monatomic ideal gas
    D
    `C_(p) xx C_(v)` is larger for a diatomic ideal gas than for a monatomic ideal gas

  • For 0.5 mol of an ideal gas, 15 cal of heat is required to raise its temperature by 10K at constant volume. The molar heat capacity for the gas at constant pressure is-

    A
    `3cal*K^(-1)*mol^(-1)`
    B
    `4cal*K^(-1)*mol^(-1)`
    C
    `5cal*K^(-1)*mol^(-1)`
    D
    `4.5cal*K^(-1)*mol^(-1)`

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