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THERMOCHEMISTRY. Heats of Formation And Hess’s Law. HEATS OF FORMATION. Another method of calculating the enthalpy of a reaction is by using heats of formation. There are tables of Δ H form that we can gather information from Pure elements are always 0
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THERMOCHEMISTRY Heats of Formation And Hess’s Law
HEATS OF FORMATION • Another method of calculating the enthalpy of a reaction is by using heats of formation. • There are tables of ΔHform that we can gather information from • Pure elements are always 0 • ΔHform is dependent on the number of moles • We also need to use the equation presented earlier: DHrxn = ∑Hproducts - ∑Hreactants
HEATS OF FORMATION Calculate ΔH for the following reaction: 8 Al(s) + 3 Fe3O4(s) 4 Al2O3(s) + 9 Fe(s)
CLASSROOM PRACTICE Use heats of formations calculations to determine the combustion of which hydro-carbon will produce the most energy per mole… (CH4= -74.81 kJ/mol; C2H6= -84.68 kJ/mol; C3H8= -104.5; C4H10= -126.5 kJ/mol) CH4 + 2O2 CO2 + 2H2O 2C2H6 + 7O2 4CO2 + 6H2O C3H8 + 5O2 3CO2 + 4H2O 2C4H10 + 13O2 8CO2 + 10H2O
HESS’ LAW • The ΔH of a process is a state function, meaning that regardless of the path to reach your goal, the energy to get there is constant. • For instance if you want to vap-orize a solid, you have 2 pathways • You can melt it into a liquid and then vaporize it into a gas. • Or sublime the solid into a gas. • both paths get the same results & both paths requires the same amnt of heat energy, this is Hess’s Law.
The idea that we can calculate Hsub by combining the Hfus with the Hvap is an illustration of Hess’ Law.
HESS’S LAW • During any Hess’s Law calc, there are 2 things that we are allowed to do to the given rxns as manipulations. • Reverse the rxn in order to make the products reactants, as long as we change the sign of the enthalpy • Increase or decrease the amounts of reactants or products by multiplying by a factor, as long as we multiply the enthalpy by the same factor • The key is to keep our eye on the prize, the goal rxn
HESS’S LAW • For example, use Hess’s Law to calc the ΔHf for the following rxneqn: • 2N2(g) + 5O2(g) 2N2O5(g) ΔH°f = ? • Given the following rxneqns: 2NO(g)+O2(g)2NO2(g) ΔH°rxn= -114kJ/mol 4NO2(g)+O2(g)2N2O5(g) ΔH°rxn= -110kJ/mol N2(g)+O2(g)2NO(g) ΔH°rxn= +181kJ/mol
HESS’S LAW • Example 2: • Given the following information: C2H6C2H4 + H2 137kJ/mol 2H2O2H2+O2 484kJ/mol 2H2O+2CO2C2H4+3O2 1323kJ/mol Find the value of H° for the rxn: 2C2H6 + 7O2 4CO2 + 6H2O
CLASSROOM PRACTICE Before pipelines were built to deliver natu-ral gas, towns & cities contained plants that produced a fuel known as town gas by passing steam over red-hot charcoal. C(s) + H2O(g) CO(g) + H2(g) Calculate ΔH° for this rxn from the following information: C(s) + ½O2(g) CO(g)H = -110.53 kJ CO(g) + ½O2(g) CO2(g)H = -282.98 kJ C(s) + O2(g)CO2 (g)H = -393.51 kJ H2(s) + ½O2(g)H2O(g)H = -241.82 kJ