Answer:
The mass % of BaCl2 is 47.24 %
Explanation:
Step 1: Data given
Molar mass BaSO4 = 233.38 g/mol
Molar mass BaCl2 = 208.23 g/mol
Step 2: The balanced equation
BaCl2(aq) + Na2SO4(aq) → BaSO4(s) + 2NaCl(aq)
Step 3: Calculate moles BaSO4
Moles BaSO4 = mass BaSO4 / molar mass BaSO4
Moles BaSO4 = 2.113 grams / 233.38 g/mol
Moles BaSO4 = 0.00905 moles
Step 4: Calculate moles BaCl2
For 1 mol BaCl2 we need 1 mol Na2SO4 to produce 1 mol BaSO4 and 2 moles NaCl
For 0.00905 moles BaSO4 we need 0.00905 moles BaCl2
Step 5: Calculate mass BaCl2
Mass BaCl2 = moles BaCl2 * molar mass BaCl2
Mass BaCl2 = 0.00905 moles *208.23 g/mol
Mass BaCl2 = 1.884 grams
Step 6: Calculate % BaCl2
% BaCl2 = (1.884 / 3.988 ) * 100%
% BaCl2 = 47.24 %
The mass % of BaCl2 is 47.24 %