What percent of a sample of nitrogen must be allowed to escape if its temperature, pressure and volu

Question

What percent of a sample of nitrogen must be allowed to escape if its temperature, pressure and volume are to be changed from $220^{\circ} \mathrm{C}, 3$ atmand 1.65 litre to $110^{\circ} \mathrm{C}$, 0.7 atm and 1.00 litre respectively?

Professor PC Thomas Classes · Answer

Use $PV = nRT \implies n \propto \frac{PV}{T}$. Calculate $n_1$ and $n_2$, then $\%$ escaped $= \frac{n_1 - n_2}{n_1} 	imes 100 \approx 81.8\%$.