A flask has a volume of 147.7 mL . When filled with air at a pressure of 688.1 t

Question

A flask has a volume of 147.7 mL . When filled with air at a pressure of 688.1 torr and a temperature of 25.48 C, the flask and air have a mass of 75.176 g . When filled with carbon dioxide at the same temperature and pressure, the mass of the flask and CO2 is 75.262 g .

Part A - What is the mass of the carbon dioxide gas in the flask (when the flask is filled with carbon dioxide)?

Assume that dry air consists of only 20.00% oxygen and 80.00% nitrogen by volume.

Part A - What is the density of dry air at 1.0745 atm and 22.83 C?

Explanation / Answer

Part A :

PV = nRT

P in atm and V in L and T in K

688.1 Torr = 0.9054 atm

147.7*10^-3 *0.9054 = n*0.0821* [25.48+273]

n = 5.457*10^-3

Moles = Mass /Molar mass

Mass = 5.457*10^-3 *44 = 0.24 gms

Mass of CO2 = 0.24 gms

Part A :

Average Molecular Weight of Air = (0.8 * 28) + (0.2 * 32) = 28.8 gms

PV = nRT

P = mRT/ V*M.W [ n = m/MW]

P = dRT / M.W

d = P*M.W/RT = 1.274 gm /L

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