### States Of Matter Question 3

#### Question 3 - 29 January - Shift 1

For $1 mol$ of gas, the plot of $pV$ vs $p$ is shown below. $p$ is the pressure and $V$ is the volume of the gas.

What is the value of compressibility factor at point A? (1) $1-\frac{a}{RTV}$

(2) $1+\frac{b}{V}$

(3) $1-\frac{b}{V}$

(4) $1+\frac{a}{RTV}$

## Show Answer

#### Answer: (1)

#### Formula: Compressibility Factor

#### Solution:

For 1 mole of real gas

$PV=ZRT$

from graph PV for real gas is less than PV for ideal gas at point $A$

$Z<1$

$Z=1-\frac{a}{V_m RT}$