# A gas occupies 30L at 760mm Hg. What is its volume at 350mm Hg?

home chemistry class-no teacher to help-need to show work

Boyle's Law. For a gas, "Absolute Pressure is Inversely Proportional to Volume at Constant Temperature".

P1 x V1 = P2 x V2
760 x 30 = 350 x V2
V2 = 22,800 ÷ 350
New Volume (V2) = 65.14 L

(Another method using the proportion: -
760mmHg ÷ 350mmHg = 2.17 times greater.
2.17 x 30 L = 65.14 L)
PV = constant

PV = PV

30*760 = x * 350

x = 65.14 L
p1v1 = p2v2 by standard pressure and temperature since pressure and volume are inversely proportional, if pressure goes down, volume goes up. So. (30L)(760mm hg (1atm)) =
(x)(350 mm hg) solve for x x= 22800/350= 65.1L with significant digits Just to check pressure about .5 less than before so volume should be about 2 times higher.

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