Answer:
0.0144 moles
Step-by-step explanation:
To calculate the number of moles of gas in a volume of 4.5 liters, we use the ideal gas law, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature in Kelvin.
First, we need to convert the temperature to Kelvin:
37°C = 37 + 273.15 = 310.15 K
Next, we can plug in the known values into the ideal gas law and solve for n:
PV = nRT
(1.00 atm)(4.5 L) = (n)(0.0821 Latm/mol K)(310.15 K)
n = (1.00 atm)(4.5 L) / [(0.0821 Latm/mol K)(310.15 K)] = 0.0144 moles
So, it would take approximately 0.0144 moles of gas to fill an average man's lungs.
ALLLEN