Question

Statement 1: The numerical values of $P_c,V_c$, and $T_c$ are $\frac{a}{27b^2},3b$ and $\frac{8a}{27RB}$ respectively
Statement 2:The compressibility factor $Z$ at critical conditions is $3/8$

• 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)

$\frac{R{T}_c}{P_c{V}_c}$
$=\frac{R\times 8a\times 27b^2}{27RT\times a\times 3b}$
$=\frac{8}{3}$