What happens to the temperature of a gas when it is compressed?

According to the ideal gas law the pressure P, volume V,
amount of substance n and temperature of a gas are related as P*V = n*R*T, where R is a
universal constant.

As a gas is compressed, work is being
done on the gas. The result of the work is first a decrease in its volume with the
temperature not being affected. Once the gas has reached a volume where it cannot be
compressed further into a smaller volume, we have the parameters V, n and R in the
equation taking on constant values. This reduces the equation to P = k*T. Now
temperature is directly proportional to the pressure.

As
the gas is compressed, the work put into the system goes to increasing the temperature
of the gas.