Answer:
Mol fraction methane = 0.4453
Mol fraction ethane = 0.2878
Mol fraction propane = 0.2669
Explanation:
Step 1: Data given
Suppose the mass of the mixture = 100 grams
The mixture contains:
25.9 % methane = 25.9 grams
31.4 % ethane = 31.4 grams
propane = 100 - 25.9 - 31.4 = 42.7 grams
Molar mass of methane = 16.04 g/mol
Molar mass of ethane = 30.07 g/mol
Molar mass of propane = 44.1 g/mol
Step 2: Calculate moles
Moles = mass / molar mass
Moles methane = 25.9 grams / 16.04 g/mol
Moles methane = 1.615 moles
Moles ethane = 31.4 grams / 30.07 g/mol
Moles ethane = 1.044 moles
Moles propane = 42.7 grams / 44.1 g/mol
Moles propane = 0.968 moles
Step 3: Calculate total moles
Total moles = moles methane + moles ethane + moles propane
Total moles = 1.615 + 1.044 + 0.968
Total moles = 3.627 moles
Step 4: Calculate mo lfraction
Mol fraction = mol component / total moles
Mol fraction methane = 1.615 moles/ 3.627 moles
Mol fraction methane = 0.4453
Mol fraction ethane = 1.044 moles / 3.627 moles
Mol fraction ethane = 0.2878
Mol fraction propane = 0.968 moles / 3.627 moles
Mol fraction propane = 0.2669
