Question

Statement 1: At low pressure van der Waals' equation is reduced to $\left[P+\frac{a}{V^{2}}\right] V=RT$
Statement 2: The compressibility factor corresponding to low pressure is given by: $1-\frac{RTV}{a}$

• A. If both Statement $1$ and Statement $2$ are true and the Statement $2$ is the correct explanation of the Statement $1$
• B. If both Statement $1$ and Statement $2$ are true but statement $2$ is not the correct explanation of the statement $1$
• C. If Statement $1$ is true but Statement $2$ is false
• D. If Statement $1$ is false but Statement $2$ is true

Answer 1

Answer: (C)

$PV+\frac{a}{V}=RT$
$\therefore PV=RT-\frac{a}{V}$;
Thus, $Z= \frac{PV}{RT}$
$=\left[1-\frac{a}{RTV}\right]$