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