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Leona [35]
3 years ago
12

What is the molar mass of a gas which has a density of 0.00249 g/mL at 20.0 degrees celcius and 744.0 mm Hg?

Chemistry
1 answer:
creativ13 [48]3 years ago
8 0

61.24 is the molar mass of a gas which has a density of 0.00249 g/mL at 20.0 degrees celcius and 744.0 mm Hg.

Explanation:

given that:

density = 0.00249 g/ml (\frac{mass}{volume})  or 2.49 grams/litre

P = 744 mm Hg OR 0.978 atm

T = 20 Degrees or 293.15 Kelvin

R = 0.08206 Litre atm/mole K

molar mass =?

Formula used/

PV = nRT    equation 1

here n is number of moles:

n = \frac{mass}{atomic mass}

putting the value of n and value of density in the equation 1:

PV = \frac{mass}{molar mass} x RT

molar mass = \frac{mass}{volume} x \frac{RT}{P}

                    = density x \frac{RT}{P}

                     = \frac{2.49 x 0.08276 x 293.15}{0.978}

                     = 61.24 is the molar mass of the gas.

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