Answer:
11 is the coefficient for C to balance the equation
Step-by-step explanation:
C₁₂H₂₂O₁₁(s) + H₂SO₄(aq) + 1/2 O₂(g) → 11C(s) + CO₂(g) + 12H₂O(g) + SO₂(g)
12 Carbons in left side → 12 Carbons in right side
12 in sucrose → 11 in solid C + 1 in the CO₂
24 Hydrogens in left side → 24 Hydrogens in right side
22 in sucrose + 2 in sulfuric → 24 in water vapor
1 S in left side → 1 S in right side
1 S in sulfuric → 1 S in sulfur dioxide
16 O in left side → 16 O in right side
11 O in sucrose + 4 in sulfuric + 1 O at ground state → 2 O in carbon dioxide + 12 in water vapor + 2 in sulfur dioxide