# Boyle's Law Problem(Need Help)?

A gas has its pressure increased 2.3 times until its volume becomes 35.7 liters. If the temperature was held constant, what was the original volume of the gas?

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Boyle's Law is a basic law in chemistry describing the behavior of a gas held at a constant temperature. The law, discovered by Robert Boyle in 1662, states that at a fixed temperature, the volume of gas is inversely proportional to the pressure exerted by the gas. In other words, when a gas is pumped into an enclosed space, it will shrink to fit into that space, but the pressure that the gas puts on the container will increase. Boyle's Law can be written out mathematically:

P x V = constant........In this equation, P = pressure and V = volume.

Since we do not change the temperature or the mass of the gas; we know P2V2 = constant = P1V1

Rearranging we get P2/P1 = V1/V2.

Substituting 2.3 for P2/P1 and 35.7 liters for V2; we get 2.3 = V1/3.7

Solving V1/35.7 = 2.3; we get V1 = (35.7)(2.3) = 82.11 liters

Source(s): Chemistry Textbook and Wikipedia