Question

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

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

Answer 1

The correct option is A $81.8\%$

Initial Condition $:3Atm,65L,493K;$

Final Condition : $0.7atm,1L,383K;$

$\%$ Allowed to escape $=100\times \frac{n_1-n_2}{n_1}$

$n_1=\frac{3\times 1.65}{R\times 493}=\frac{0.0100}{R}$

$n_2=\frac{0.7\times 1}{R\times 383}=\frac{0.00182}{R}$

$\%ofthesample=\frac{0.0100-0.00192}{0.0100}\times 100$

$\approx 81.8\%$