Question

The total pressure exerted by the mixture of 7g of $N_2$, 2g of $H_2$ and 8g of $S{O}_2$ gases in a vessel of 6L capacity kept at ${27}^{0}C$ is .

• A. 2.5 atm
• B. 5.7 atm
• C. 4.5 atm

Answer 1

The correct option is B 5.7 atm

Number of moles of Nitrogen = $\frac{7}{28}$
= $\frac{1}{4}$ moles

Number of moles of Hydrogen = $\frac{2}{2}$
= 1mole

Number of moles of Sulphur dioxide =$\frac{8}{64}$
= $\frac{1}{8}$ moles

Total number of moles = $\frac{1}{4}+1+\frac{1}{8}$

= $\frac{11}{8}$ moles

Ideal gas equation is $PV=nRT$

$P=\frac{nRT}{V}$

$P=\frac{11}{8}\times \frac{0.0821\times 300}{6}$

$P=5.7atm$