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Q.
A vessel of volume 4 litres contains a mixture of 8 g of oxygen, 14 g of nitrogen and 22 g of carbon dioxide at $27^{\circ}C$. The pressure exerted by the mixture is
Kinetic Theory
Solution:
The pressure exerted by the mixture,
$P = P_1 + P_2 + P_3$
$= \left(\frac{nRT}{V}\right)_{O_2}+ \left(\frac{nRT}{V}\right)_{N_2} + \left(\frac{nRT}{V}\right)_{CO_2}$
$= \left(n_{O_2}+n_{N_2}+n_{CO_2}\right) \frac{RT}{V} = \frac{\left(\frac{8}{16}+\frac{14}{28}+\frac{22}{44}\right)\left(8.31\right)\times300}{4\times10^{-3}}$
$= 9.34 × 10^5 \,N \,m^{-2}$