The virial expansion for a real gas can be written in either of the following forms: PV/RT=1+BP P+CP P²+… =1+BV V+CV V²+… If BV=α BP the value of α would be

Q39 · CSIR-NET Chemistry, June 2011

Paper: CSIR-NET June 2011 · Subject: Physical Chemistry · Chapter: Gaseous State · Topic: Real Gases Virial · Marks: 2 · Difficulty: Medium

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

\[ \begin{array}{l} \dfrac{P\bar{V}}{RT}=1+B_P P+C_P P^{2}+\cdots \\ =1+B_V V+C_V V^{2}+\cdots \end{array} \]

If $B_V=\alpha B_P$ 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 Z = 1 + B_P·P + … with Z = 1 + B_V/V + … and using P ≈ RT/V to first order gives B_V = RT·B_P, so α = RT.

Study loop for Gaseous State