Need help solving Chem problem?

A 7.89 liter sample of gas has a pressure of 850 torr. What volume will it ocupy if the pressure is changed to 457 torr? (torr is a measurement of pressure. 760 torr = 1 atmosphere.)

Answer:
when pressure is reduced, it is not always true that the volume will increase. Ex: If you take out air from a jar from an air compressor, you reduce the pressure within the bottle, but the volume stays the same!
850/457 * 7.89 = 14.67 liters
as pressure is reduced, volume will increase
P1 x V1 = P2 X V2 (if temp. kept constant)
so V2 = 850 x 7.89 /457 = 14.675 lt
This is Boyle's Law. Inverse proportion at constant temperature.

P1 x V1 = P2 x T2
850torr x 7.89 L = 457torr x V2
V2 = (850 x 7.89) ÷ 457
V2 = 6,706.5 ÷ 457
Final volume (V2) = 14.68 Litres.

(Check using the proportion:-
850torr ÷ 457torr = 1.86
1.86 x 7.89 L = 14.68 L...check )

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