Answer:
18.1 g
Explanation:
Step 1: Write the balanced equation
CaO + 3 C ⇒ CaC₂ + CO
Step 2: Calculate the moles corresponding to 10.2 g of C
The molar mass of C is 12.01 g/mol.
10.2 g × 1 mol/12.01 g = 0.849 mol
Step 3: Calculate the moles of CaC₂ produced from 0.849 moles of C
The molar ratio of C to CaC₂ is 3:1. The moles of CaC₂ produced are 1/3 × 0.849 mol = 0.283 mol
Step 4: Calculate the mass corresponding to 0.283 moles of CaC₂
The molar mass of CaC₂ is 64.10 g/mol.
0.283 mol × 64.10 g/mol = 18.1 g