Propane, C₃H₈, is a gas used as a fuel for outdoor grills and alternative-fuel vehicles. The enthalpy change for the synthesis of propane from its elements in their standard states is difficult to measure directly, but if you are interested in assessing the thermodynamic properties of its reactions, you need to know its value. Calculate the standard enthalpy of the reaction 3 C(gr) + 4 H₂(g) → C₃H₈(g) from the following experimental data:

PLAN Use the procedure in Toolbox 4D.1 to combine the chemical equations in a way that yields the required overall equation.

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(a) C3H8(g) + 5 0₂(g) →→ 3 CO₂(g) + 4 H₂O (1) (b) C(gr) +O₂(g) → CO₂ (g) (c) H₂(g) + O₂(g) H₂O(1) AH°-2220. kJ AH° -394 kJ AH° - 286 kJ = =