If 4.00 mol of an ideal gas has a pressure of 2.25 atm and a volume of 65.33 L, what is the temperature of the sample in degrees Celsius?

Question

If 4.00 mol of an ideal gas has a pressure of 2.25 atm and a volume of 65.33 L, what is the temperature of the sample in degrees Celsius?

Answer 1

Hi Emily! We need to use the equation PV = nRT, and we can rearrange to solve for temperature:

T = PV/nR ---> T = (2.25 atm)(65.33 L)/(4 mol)(0.0821 atmxL/molxK) ---> T = 447.59 K

The problem asks for temperature in degrees Celsius, so:

447.59 - 273 = 174.59 ºC!

Hope this helps! Let me know if there's anything else I can help with!!