At any temperature T, fugacity coefficient (γ) is given by ln γ=∫₀P (Z-1)/(P′) dP′ where Z is the… · ABC26PH0591

Subject: Physical Chemistry · Chapter: Thermodynamics · Topic: Thermodynamics – General · Exam: GATE 2005-2021 · Marks: 2 · Difficulty: Medium

At any temperature T, fugacity coefficient $(\gamma)$ is given by
\[ \ln \gamma=\int_{0}^{\mathrm{P}} \frac{\mathrm{Z}-1}{\mathrm{P}^{\prime}} \mathrm{dP}^{\prime} \]
where Z is the compressibility factor. The fugacity coefficient of a real gas governed by equations of state, $\mathrm{P}(\mathrm{V} -\mathrm{b})=\mathrm{RT}$ with'b'a constant is given by
(a)$\frac{RT}{bP}$
(b)$e^{\frac{RT}{bP}}$
(c)$\frac{bP}{RT}$
(d)$e^{\frac{bP}{RT}}$
Answer
Answer: D ✓ checked by 4AB · confidence high
Explanation
Z − 1 = bP/RT, so ln φ = ∫₀ᴾ (b/RT)dP′ = bP/RT and φ = e^(bP/RT) (d).

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