Question

Assertion :For ideal gases, the value of compressibility factor, $Z$ is equal to 11. Reason: Gases show ideal behaviour at high temperature and low pressure.

Read the above assertion and reason and choose the correct statement regarding it.

• A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
• B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
• C. Assertion is correct but Reason is incorrect
• D. Both Assertion and Reason are incorrect

Answer 1

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

A: Value of compressibility factor Z for ideal gas =1.

R: Gases show ideal behavior at high temperature and low pressure.

Here both statements are true.

We know, Z is a measure of how much the thermodynamic properties of a real gas deviate from the expected of an ideal gas

Z $=\frac{\text{Actual volume of a real gas}}{\text{Volume predicted by an ideal gas}}$

Also, it is known that as pressure lowers or approaches to zero all real gases tend towards ideal behavior.

At low pressure and high temperature

$Z=\frac{V_{actual}}{V_{ideal}}=\frac{V_{ideal}}{V_{ideal}}=1$.

So, A is true, R is true, R is the correct explanation for A.