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Nitrogen is slightly less dense than is a sample of air at the same temperature and...

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Chemistry

Nitrogen is slightly less dense than is a sample ofair at the same temperature and pressure. Calculate the density ofN2 in g/L, at 1.45 atm at 15 degree Celsius

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3.6 Ratings (404 Votes)

Using ideal gas law, pV = nRT

            Where, p = pressure in atm = 1 atm

            V =volume in L

            n = number of moles = 1           [standard condition]

            R = universal gas constant= 0.08205746 atm L mol-1K-1

Volume, V = nRT/ P = [1 mol x (0.08205746 atm L mol-1K-1) x 288 K ] = 23.63255 L

Mass of 1 mole N2 gas = moles x molecular mss

                                    = 1 mole x 28.014 g mol-1

                                    = 28.014 g

Density = mass / volume

            = 28.014 g / 23.63255 L = 1.185 g/ L
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