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?
Select the correct option:
A
$1-\frac{a}{R T V}$
B
$1+\frac{b}{V}$ (3
C
$1-\frac{b}{V}$
D
$1+\frac{a}{R T V}$
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Sol. For 1 mole of real gas $\mathrm{PV}=\mathrm{ZRT}$ from graph PV for real gas is less than PV for ideal gas at point A
$$
\begin{aligned}
& Z<1 \\
& Z=1-\frac{a}{V_n R T}
\end{aligned}
$$
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