Final answer:
The correct answer is option C. The enthalpy change for the given equation is -159 kJ/mol.
Step-by-step explanation:
The enthalpy change (∆H) for the given equation can be calculated using the given information. First, we need to determine the number of moles of H₂S burnt. The molar mass of H₂S is 34.08 g/mol (2(1.008 g/mol) + 32.06 g/mol), so the number of moles is 26.7 g/34.08 g/mol = 0.78 mol. Next, we calculate the ∆H using the balanced equation and the energy released: 0.78 mol * (-406 kJ) / 2 mol H₂S = -159 kJ/mol. Therefore, the correct answer is option c. -159.3 kJ.