Question

Assertion :Compressibility factor $\left(Z\right)$ is the ratio of actual molar volume of a gas to the molar volume of it, if it were an ideal gas at the same temperature and pressure. Reason: At high pressure all the gases have $Z<1$ and can be easily compressed.

• 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 C Assertion is correct but Reason is incorrect

The compressibility factor (Z) is a useful thermodynamic property for modifying the ideal gas law to account for behavior of real gases. It is a measure of how much the thermodynamic properties of a real gas deviate from those expected of an ideal gas. It may be thought of as the ratio of the actual volume of a real gas to the volume predicted by the ideal gas at the same temperature and pressure as the actual volume.

$Z=\frac{PV}{RT}$

At high pressure, all the gases have Z < 1 and can be easily compressed.