Question

What percent of a sample of nitrogen must be allowed to escape if its temperature, pressure and volume are to be changed from $220^0$C,3atm and 1.65 liter to $110^0$C,0.7atm and 1.0 liter respectively?

• A. 81.8%
• B. 71.8%
• C. 76.8%
• D. 86.8%

Answer 1

The correct option is A 81.8%

$P_1=3atm{P}_2=0.7atm{T}_1=273+220T_2=273+110=493=383K{V}_1=1.65V_2=?\frac{P_1{V}_1}{T_1}=\frac{P_2{V}_1}{T_2}\frac{3\times 1.65}{493}=\frac{0.7\times V_2}{383}{V}_2=\frac{3\times 1.65\times 385}{0.7\times 493}=5.5$

$\therefore$ %$toescape=\frac{5.5-1}{5.5}\times 100$