Small children are occasionally injured when they try to inhale helium from

a compressed helium tank. If a small child tries to transfer the contents of

a 50 L tank of helium at a pressure of 125 atm and a temperature of 20°

C into its lungs, how many moles of gas will it inhale?

260 moles of Helium

Explanation:

V = 50L

T = 20°C = (20 + 273.15) K = 293.15K

P = 125 atm

R = 0.082 L. atm / mol. K

n = ?

From ideal gas equation,

PV = nRT

P = pressure of a given gas

V = volume it occupies

n = number of moles

R = ideal gas constant

T = temperature of the gas

PV = nRT

n = PV / RT

n = (125 * 50) / (0.082 * 293.15)

n = 6250 / 24.0383

n = 260.00 moles

The child inhaled 260 moles of Helium