Question

The pressure exerted by $5$ moles of a real gas in one litre vessel at $47^??$ is $(a = 3.592 \,atm\, L^2\, mol^{-2}$, $b = 0.0427\, L\, mol^{-1})$

• A. $149\, atm$
• B. $77.2\, atm$
• C. $47.4\, atm$
• D. $18.4\, atm$

Answer 1

Answer: (B)

$77.2\, atm$

Answer 2

Applying, $\left(P+\frac{an^{2}}{V^{2}}\right)\left(V-nb\right)=nRT$ $a=3.592$, $b=0.0427$, $V=1\,L$, $n=5\,mol$, $T=273+47=320\,K$ $R=0.0821\,L\,atm\,K^{-1}\,mol^{-1}$ $\left(P+\frac{3.592\times5^{2}}{1^{2}}\right)\left(1-5\times0.0427\right)$ $=5\times0.0821\times320$ $P=77.2\,atm$