Answer
mass of aspirin (C₉H₈O₄) that will be produced = 73.11 g
Step-by-step explanation
Given:
balanced equation: C₇H₆O₃ (s) + C₄H₆O₃ (s) → C₉H₈O₄ (s) + HC₂H₃O₂ (aq).
mass of C₇H₆O₃ = 59.0 g
What we know:
Molar mass of C₉H₈O₄ = 180,158 g/mol
Molar mass of C₇H₆O₃ = 138,121 g/mol
Solution:
Step 1: Find the moles of C₇H₆O₃
n = m/M where n is the moles, m is the mass and M is the molar mass
n = 59.0 g/138,121 g/mol
n = 0.427 mol
Step 2: Use stoichiometry to find moles of C₉H₈O₄
Molar ratio is 1:1
therefore moles of C₉H₈O₄, n = 0.427 mol
Step 3: Find the mass of aspirin
m = n x M
m = 0.427 mol x 180,158 g/mol
m = 76.96 g
Assume 95.0% yield from the reaction
m = 76.96 x 0.95 = 73.11 g