How many moles of an ideal gas are in a tank with a volume of 22.9 L at pressure of 14.297 atm at 12°C? (Show work and units)

14 moles

Explanation:

For an Ideal gas,

PV = nRT ... Equation 1

Where P = Pressure, V = Volume, n = number of mole, R = Molar gas constant.

make n the subject of the equation

n = PV/RT ... Equation 2

Given: P = 14.297 atm, V = 22.9 L = 22.9 dm³, T = 12 °C = (12+273) K = 285 K.

Constant: R = 0.082 atm. dm³/K. mol

Substitute these values into equation 2

n = (14.297*22.9) / (285*0.082)

n = 327.4013/23.37

n = 14.009

n ≈ 14 moles