**Where are we going with this?**Getting to the current models of atomic theory didn't happen over night. This page will support the ability to

*u*

*se the kinetic molecular theory with the combined and ideal gas laws to explain changes in volume, pressure, moles and temperature of a gas and apply the ideal gas equation (PV = nRT) to calculate the change in one variable when another variable is changed and the others are held constant.*

**The Math: Boyle's Law**

*I told you there'd be mat!*

*Boyle's Law*

The volume of a gas is inversely proportional to its pressure if the temperature and the number of molecules are constant.

*P1V1=P2V2*

This is algebraically the same as

*a•b = c•d*only with subscripts. The subscripts indicate different observations of the gas, with the 1 usually being the first observation and the 2 the second.So, if the initial conditions are known, that makes

*P1V1*become a set number. Like 10.If

10 =

*P2V2*

then the product of

*P2V2*has to always equal 10.That means that changing either

*P1*of*V1*requires the other to change, too. Hence:- raising the pressure decreases the volume
- lowering the pressure increased the volume
- raising the volume decreases the pressure
- lowering the volume increased the pressure

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