Answer to Question #158756 in General Chemistry for champ

Question

At a pressure of 3.02 atm, a vessel takes up 23.4 liters of space. What pressure must this container be at for it to take up 54.5 liters of space?

Answer 1

Assuming that the type of matter in question is gaseous; according to Boyle's Law, the pressure (p) of a given quantity of a gas varies inversely with its volume(v) at a constant temperature.

That is $p\alpha v$

$pv =k$

$p1v1 = p2v2$

$p2=\dfrac{p1v1}{v2}$

$p2=\dfrac{3.02atmx23.4L}{54.5L}=1.30atm$