# A canister containing air has a volume of #85# #cm^3# and a pressure of #1.45# #atm# when the temperature is #310# #K#. What is the pressure when the volume is increased to #180# #cm^3# and the temperature is reduced to #280# #K#?

##### 1 Answer

Mar 2, 2017

The pressure will fall to

#### Explanation:

According to the ideal gas equation we know that:

#(pV)/T=const#

so if we write that:

After the change we have:

We have to calculate the new pressure

Using the equation stated at the beginning we have:

If we transform the formula we get:

If we substitute the given data we get: