Acanister 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?

We can solve the problem by using the ideal gas law, which states:

where
p is the gas pressure
V is the volume
n is the number of moles
R is the gas constant
T is the absolute temperature

The initial conditions of the gas in the problem are:



So we can use the previous equation to find the number of moles of the gas:


The final conditions of the gas are:


and since the number of moles didn't change, we can find the final pressure by using again the ideal gas law:

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