Question

What is the total pressure exerted by a mixture of $7.0\text{g}$ of $N_2,2\text{g}$ of hydrogen and $8.0\text{g}$ of sulphur dioxide gases in a vessel of $6\text{L}$ capacity that has been kept in a reservoir at ${27}^{\circ }\text{C}$?

• A. 2.5 bar
• B. 4.5 bar
• C. 10 atm
• D. 5.7 atm

Answer 1

The correct option is D 5.7 atm

No. of moles of $N_2=\frac{7}{28}=\frac{1}{4}$
No. of moles of $H_2=1\text{mole}$
No. of moles of $S{O}_2=\frac{1}{8}$
$\text{Total moles}=\frac{1}{8}+\frac{1}{4}+1=\frac{11}{8}$
$\frac{nRT}{V}=\frac{11}{8}\times \frac{0.0821\times 300}{6}=5.64$
$\approx 5.7\text{atm}$