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.