Answer
Molar mass = 2.017g/mol
Unknown gas : H2
Explanation
Ideal gas equation is
PV = nRT
P = Pressure , 1atm
V = Volume , 99.71L
n = number of moles
R = gas constant , 0.082057(L atm / mol K)
T = Temperature , 273.15K
n = PV /RT
= 1atm × 99.71L / (0.082057(L atm/mol K) × 273.15K)
= 4.449mol
Total number of moles = 4.449mol
moles of Ar = 7.8g / 39.95g/mol = 0.1952mol
moles of Ne = 7.8g/20.18g/mol = 0.3865mol
moles of unknown gas = 4.449mol - ( 0.1952mol + 0.3865mol) = 3.8673mol
molar mass = mass / number of moles
molar mass of unknown gas = 7.8g / 3.8673mol = 2.017g/mol
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