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QUESTION

# What are the steps to the Boyle's Law formula "P1 x V1 = P2 x V2"?

Boyle's law developed by Robert Boyle in 1662, states that if we keep the temperature of a gas constant in a sealed container. Its pressure (P) varies inversely with its volume (V). In other words at any given temperature. If we pressurize a gas its volume will be reduced proportionately to the pressure change. If we increase the volume of a gas its pressure will increase.

I am not sure what you mean by the steps, but I can help you identify a problem, and tell you how to solve it.

Boyle's Law is that Pressure, P is inversely related to volume, V at constant temperature and number of moles. The mathematical relationship is P = k*1/V which rearranges to

P*V=k,

where k is a constant.

Since PV=k, you get P_1V_1=P_2V_2.

You can tell a problem will be a Boyle's law problem, if there is a change in pressure or volume and it asks you about the other.

For example, you could be asked the following: If a gas at , has its container expand to three times its volume, what is the new pressure.

Solution P_1 = 760 mmHg V_1 = V_1

P_2 = ? V_2 = 3V_1 because the new volume is 3 times bigger.

P_1V_1 = P_2V_2 Boyle's Law

P_2 = (P_1V_1)/V_2 Divide both sides by V_2

P_2 = ((760 mmHg)V_1)/(3V_1) Substitute givens.

P_2 = (760mmHg)/3 = 253.3 mmHg