Question

A vessel of volume $2000c{m}^3$ contains 0.1 mole of $O_2$ and 0.2 mole of $C{O}_2$. If the temperature of the mixture is 300k, find its pressure.

• A. $1.25\times {10}^{5}Pa$
• B. $2.25\times {10}^{5}Pa$
• C. $3.25\times {10}^{5}Pa$
• D. $4.25\times {10}^{5}Pa$

Answer 1

The correct option is A $1.25\times {10}^{5}Pa$

Given: $T=300kV=2000c{m}^3$
Total pressure $=P_{O_2}+P_{C{O}_2}P=\frac{n_{1}RT}{V}+\frac{n_{2}RT}{V}P=\frac{(n_1+n_2)\left(RT\right)}{V}$
[Because DOF doesn't appear in the ideal gas equation so it doesn't matter what gas is being used]
$P=\frac{0.1+0.2\times 8.3\times 300}{2000\times {10}^{-6}}=1.25\times {10}^{5}Pa$