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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