All Problems

Equation of the gas state processes

Problem 2.4

A vessel contains a mixture of nitrogen \(\left(m_{1}=7.0 \mathrm{~g}\right)\) and carbon dioxide \(\left(m_{2}=11 \mathrm{~g}\right)\) at a temperature \(T=290 \mathrm{~K}\) and pressure \(p_{0}=1.0\) atm. Find the density of this mixture, assuming the gases to be ideal.

Reveal Answer
ρ=p0(m1+m2)RT(m1/M1+m2/M2)=1.5 g/l\rho=\frac{p_{0}\left(m_{1}+m_{2}\right)}{R T\left(m_{1} / M_{1}+m_{2} / M_{2}\right)}=1.5 \mathrm{~g} / \mathrm{l}