All Problems

Equation of the gas state processes

Problem 2.4

A vessel contains a mixture of nitrogen (m1=7.0 g)\left(m_{1}=7.0 \mathrm{~g}\right) and carbon dioxide (m2=11 g)\left(m_{2}=11 \mathrm{~g}\right) at a temperature T=290 KT=290 \mathrm{~K} and pressure p0=1.0p_{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}