Academic Subjects
Chemistry
General Chemistry
Gases
Calculating Moles Of Gas To Fill An Average Man’s Lungs

How many moles of gas would it take to fill an average man’s lungs,
total capacity of which is about 4.5 L? Assume 1 atm pressure and 37 ℃

A. 11.2 mol
B. 0.75 mol
C. 37 mol
D. 1.24 mol
E. 0.177 mol



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
37.00 °C + 273.15 = 310.15 K


Now, we're ready for pV = nRT

(1 atm)(4.5 L) = (x)
(0.082057 L atm) /             mole K
(310.15 K)

(4.5 L) = (x)
(25.45 L) / mole


(x) =
(4.5 L) / (25.45 L mole-1)


x = 0.1768 moles


An average man's lungs will hold 0.177 moles of gas
Answer E is the correct option