Question

For 500K plot the 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 b/RT will be:

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

Answer 1

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

$\begin{array}{c}\text{from question we see that pressure changes}\\ \text{from}1000\text{atm to}1200\text{atm}\\ \text{we get that the range is high}\\ \text{pressure range.}\\ \text{So,}\\ \text{for high pressure range}\\ \begin{array}{c}\text{Slope of the curve}\\ \text{will be}\end{array}\\ \begin{array}{cc}\frac{b}{RT}& \Rightarrow \frac{y_2-y_1}{x_2-x_1}\\ \frac{b}{RT}& \Rightarrow \frac{2\cdot 2-2}{1200-1000}=\frac{0.2}{200}={10}^{-3}{\text{atm}}^{-1}\end{array}\end{array}$