Question

The gas in a large cylinder is at a pressure of 3040 torrs. Assuming constant temperature and ideal gas behavior, how much of this gas could you compress into a 100 L box at 8 atm?

• A. 20 L
• B. 200 L
• C. 5000 L
• D. 50,000 L

Answer 1

The correct option is B 200 L

At constant temperature, Boyle's Law gives

$P_1{V}_1=P_2{V}_2$

$P_1=3040torr=4atm$

$P_2=8atm$

$V_2=100L$

Hence $V_1=V_2\frac{P_2}{P_1}=100\times \frac{8}{4}=200L$