Question

The compressibility factor for nitrogen at 330 K and 800 atm is 1.90 and at 570 K and 200 atm is 1.10. A certain mass of $N_2$ occupies a volume of 1 $d{m}^3$ at 330 K and 800 atm. Calculate the volume occupied by same quantity of $N_2$ gas at 750 K and 200 atm.

• A. 1 L
• B. 2 L
• C. 3 L
• D. 4 L

Answer 1

The correct option is D

4 L

$Z=\frac{PV}{nRT}\Rightarrow 1.90=\frac{1\times 800}{n\times R\times 330}$

$n=\frac{1\times 800}{1.90\times R\times 330}$

$Z=1.10=\frac{V\times 200}{n\times R\times 570}$

$1.10=\frac{V\times 200\times 1.90\times R\times 330}{800\times R\times 570}$

V = 4L