Ideal Gas Laws PV=nRT

Question

If 4.5 moles of a gas at a pressure of 7.4 atmospheres have a volume of 125 liters , what is the temperature ?

Answer 1

The ideal gas law is

PV = nRT

By rearranging the formula to solve for temperature (T), we get:

T = PV/nR

Then for this particular set of values that becomes

T = (7.4 atm x 125L) / (4.5 mol x 0.0821 Latm / molK) = 2503.72

meaning that the temperature of the gas here is about 2503.72 K

Answer 2

PV = nRT ... Ideal Gas Law

P = pressure = 7.4 atm

V = volume = 125 liters

n = moles = 4.5

R = gas constant = 0.0821 Latm/Kmol

T = temperature in K = ?

Plug in and solve for T (temperature)

T = PV/nR = (7.4)(125)/4.5)(0.0821)

solve