Q. A vessel of volume 4 L contains a mixture of 8 g of oxygen, 14 g of nitrogen and 22 g of carbon dioxide at 27$℃$. The pressure exerted by the mixture is
A) $5.79\ \times 10^{5}\ Nm^{- 2}$
B) $6.79\ \times 10^{5}\ Nm^{- 2}$
C) $7.79\ \times 10^{3}\ Nm^{- 2}$
D) $7.79\ \times 10^{5}\ Nm^{- 2}$
Explanation
(d) $p = p_{1} + p_{2} + p_{3}$
= ${\left( \frac{nRT}{V} \right)_{O}}_{2} + \ {\left( \frac{nRT}{V} \right)_{N}}_{2} + \ {\left( \frac{nRT}{V} \right)_{CO}}_{2}$
= $\left( {n_{O}}_{2} + {n_{N}}_{2} + {n_{CO}}_{2} \right)\frac{RT}{V}$
=$\frac{(0.25 + 0.5 + 0.5)(8.31) \times 300}{4 \times 10^{- 3}}$
= 7.79 $\times 10^{5}\ Nm^{- 2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.