How do I find pressure?

Question

A sample of gas trapped by a moveable piston has a volume of 57.0 L and a pressure of 2.35 atm at 273 K. If the volume of the gas decreases to 14.0 L as the temperature is increased to 327 K, what is the new pressure of the gas?

Answer 1

Use the combined gas law P1V1/T1 = P2V2/T2

P1 = initial pressure = 2.35 atm

V1 = initial volume = 57.0 L

T1 = initial temperature = 273 K

P2 = final pressure = ?

V2 = final volume = 14.0 L

T2 = Final temperature = 327K

Plug in the values and solve for P2:

P2 = P1V1T2/V2T1