Answer:
184.8 g
Step-by-step explanation:
Step 1: Write the balanced thermochemical equation
C₈H₁₈(l) + 25/2 O₂(g) ⇒ 8 CO₂(g) + 9 H₂O(g) ΔH°rxn = -5074.1 kJ
Step 2: Calculate the moles of octane required to produce 8210 kJ of heat
According to the thermochemical equation, 5074.1 kJ of heat are released per mole of octane consumed.
-8210 kJ × 1 mol C₈H₁₈/(-5074.1 kJ) = 1.618 mol
Step 3: Calculate the mass corresponding to 1.618 moles of octane
The molar mass of C₈H₁₈ is 114.23 g/mol.
1.618 mol × 114.23 g/mol = 184.8 g