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type=MCQ · page=28–29 · marks=2 · content_conf=0.7999999999999999 · math_conf=0.797

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file: GATE CH 2020 (with Solutions).pdf

pages: 28–29

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A pure gas obeys the equation of state given by PV/RT= 1+BP/RTWhere P is the pressure, T is the absolute temperature, V is the molar volume of the gas, R is the universal gas constant, and B is a parameter independent of T and P. The residual molar Gibbs energy, Gʳ, of the gas is given by the relation

.

Where Z is the compressibility factor and the integral is evaluated at constant T. If the value of B is

1 /times 10^{ - 4} m^3 mol^{ - 1}, the residual molar enthalpy (in J mol^{ - 1}) of the gas at 1000 kPa and 300 K is

Options

A.
100
B.
300
C.
2494
D.
30000

Answer

Solution

z = 1+/frac{B_0P}{RT}

B_0 = 10^{-4}

T = 300k,P=1000 KPa

.

.

.

⇒G^ʳ = BP

Gʳ=100

.

−T-/frac{BP}{RT^2}

G^ʳ = H^ʳ = 100

Hence, the correct answer is 100.

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Source PDF: GATE CH 2020 (with Solutions).pdf

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