All Problems

Equation of the gas state processes

Problem 2.21

Under what pressure will carbon dioxide have the density ρ=500 g/l\rho=500 \mathrm{~g} / \mathrm{l} at the temperature T=300 KT=300 \mathrm{~K} ? Carry out the calculations both for an ideal and for a Van der Waals gas.

Reveal Answer
pid=ρRT/M=280 atm;p=ρRT/(Mρb)aρ2/M2=80atmp_{i d}=\rho R T / M=280 \mathrm{~atm} ; p=\rho R T /(M-\rho b)-a \rho^{2} / M^{2}=80 atm