Question

For 500 K plot value of Z changes from 2 to 2.2 if pressure is varied from 1000 atm to 1200 atm (high pressure) then the value of $\frac{b}{RT}$ will be:

• A. ${10}^{-3}at{m}^{-1}$
• B. $2\times {10}^{-3}at{m}^{-1}$
• C. $5\times {10}^{-3}at{m}^{-1}$
• D. ${10}^{-4}at{m}^{-1}$

Answer 1

The correct option is A ${10}^{-3}at{m}^{-1}$

During high-pressure region, the expression for the compressibility factor is $z=1+\frac{Pb}{RT}$.

When $z=2$, $P=1000atm$ and $2=1+\frac{1000b}{RT}$.

$\frac{b}{RT}=\frac{2-1}{1000}={10}^{-3}at{m}^{-1}$.

When $z=2.2$, $P=1200atm$ and $2.2=1+\frac{1200b}{RT}$.

$\frac{b}{RT}=\frac{2.2-1}{1200}={10}^{-3}at{m}^{-1}$.

Hence, the correct answer is option $\text{A}$.