Academic Subjects
Chemistry
General Chemistry
Gases
Finding Volume Of 90.5 moles Ideal Gas

If 90.5 moles of an ideal gas is at 1.77 atm at 34.80 °C,
what is the volume of the gas?



Applying the Ideal Gas Law, we first want to check if all units match
R 0.082057 L atm mol-1 K-1

We will have to convert our temperature value
34.80 °C + 273.15 = 307.95 K


Now, we're ready for pV = nRT

(1.77 atm)(x) = (90.5 moles)
(0.082057 L atm) /                mole K
(307.95 K)

(1.77 atm)(x) = (2286.88551 L atm)

(x) =
(2286.88551 L atm) / (1.77 atm)


(x) = 1292.02571 L


The volume of this gas is 1.29 x 103 L