BITSAT 2022
- Exam
- BITSAT
- Year
- 2022
- Subject
- Chemistry
- Chapter
- States of Matter
BITSAT 2022 · Chemistry · States of Matter
The given graph represents the variation of compressibility factor...
The given graph represents the variation of compressibility factor , for three real gases and . Identify the only incorrect statement. 

Options
- AFor the gas and its dependence on is linear at all pressure.
- BFor the gas and its dependence on is linear at all pressure.
- CFor the gas , which is typical real gas for which neither. nor . By knowing the minima and point of the intersection, with and can be calculated.
- DAt high pressure the slope is positive for all real gases.
Correct answer
B. For the gas and its dependence on is linear at all pressure.
Step-by-step solution
From the graph it is clear that, the value of ' ' decreases with increase of pressure. We can explain as follows on the basis of van der Waals' equation.
At high pressure, when ' ' is large, will be small and one cannot ignore ' ' in comparison to . However, the team may be considered negligible in comparison to ' ' in van der Waals' equation.
Thus, is greater than 1. As pressure is increased (at constant ), the factor increases. This explains why after minima in the curves, increase continuously with pressure. Hence, the only incorrect statement is (b).