Question

Virial equation is: $P{V}_M=RT[A+\frac{B}{V_M}+\frac{C}{V_M^2}+...]$, where $A,B,C,...$ are first second, third, ... virial coefficients, respectively, for an ideal gas.

• A. $A=unity$ and $B,C$ are zero.
• B. $A$, $B$, $C$ are all equal to unity.
• C. $A$ is dependent of temperature.
• D. All $A,B,C$ depend on temperature.

Answer 1

The correct option is A $A=unity$ and $B,C$ are zero.

We know that, the ideal gas equation is: $PV=nRT$

For $n=1;PV=RT$ ---(i)

Comparing eqⁿ (i) with the given Virial equation, we get

[ $A$ + $\frac{B}{V_M}$ + $\frac{C}{V_M^2}$ + ...] = 1

⇒ $A=1,B=0$ and $C=0$.

Hence, option A is correct.