The virial expansion for a real gas can be written in either of the following forms: P V/R T =1+Bp P+Cp P²+… =1+Bv V+Cv V²+… If B₀=α B, the value of α would be

Q100 · CSIR-NET Chemistry, June 2011

Paper: CSIR-NET June 2011 · Subject: Physical Chemistry · Chapter: Atomic and Molecular Term Symbol · Topic: Atomic And Molecular Term Symbols – General · Marks: 2 · Difficulty: Medium

The virial expansion for a real gas can be written in either of the following forms:

\[ \begin{aligned} \frac{P \bar{V}}{R T} &=1+B_{p} P+C_{p} P^{2}+\ldots \\ &=1+B_{v} V+C_{v} V^{2}+\ldots \end{aligned} \]

If $B_{0}=\alpha B$, the value of $\alpha$ would be

(a)PV/RT

(b)RT/PV

(c)PV

(d)RT

Answer

Answer: D ✓ checked by 4AB · confidence high

Explanation

Equating the two virial series with P ≈ RT/V to first order gives B_V = RT·B_P, so α = RT.

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