the density of an unknown gas is 2.00 grams per liter at 3.00 atmosphere pressure and 127oc. what is the molar mass of this gas?



Answer :

The density of an unknown gas is 2.00 grams per liter at 3.00 atmosphere pressure and 127oc.the molar mass of this gas is 21.87 g/mol.

given that :

density , d = 2 g/L

pressure P = 3 atm

temperature , T = 127 °C

the ideal gas equation is given as :

P V = nR T

and d = m / V

where,

m = mass

V = volume

Molar mass M = m/n

now the equation becomes :

P V / m = n R T / m

P / d = R T / M

M = d R T / P

M = ( 2 g/L × 0.082 L atm / mol K × 400.15 K ) / 3 atm

M = 21.87 g / mol

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