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To determine the enthalpy change (ΔHΔH) for the reaction H2(g)+Br2(g)→2HBr(g)H2(g)+Br2(g)→2HBr(g), we need to calculate the energy required to break all the bonds in the reactant molecules and subtract the energy required to form all the bonds in the product molecules.
Given bond energies:
The net change in enthalpy (ΔHΔH) can be calculated using the following formula:
ΔH=∑(bond energies of reactants)−∑(bond energies of products)ΔH=∑(bond energies of reactants)−∑(bond energies of products)
For the given reaction:
Let's calculate:
Energy required to break bonds in reactants: H2(g)H2(g): 1 mole of H2H2 contains 1 bond, so energy required = 1×Bond energy of H21×Bond energy of H2 Br2(g)Br2(g): 1 mole of Br2Br2 contains 1 bond, so energy required = 1×Bond energy of Br21×Bond energy of Br2
Total energy required to break bonds in reactants = Bond energy of H2+Bond energy of Br2Bond energy of H2+Bond energy of Br2
Energy released when bonds are formed in products: 2HBr(g)2HBr(g): 1 mole of 2HBr2HBr contains 2 bonds, so energy released = 2×Bond energy of HBr2×Bond energy of HBr
Total energy released when bonds are formed in products = 2×Bond energy of HBr2×Bond energy of HBr
Now, let's substitute the given bond energies and calculate ΔHΔH:
ΔH=(Bond energy of H2+Bond energy of Br2)−(2×Bond energy of HBr)ΔH=(Bond energy of H2+Bond energy of Br2)−(2×Bond energy of HBr)
ΔH=(4.35 kJ/mol+192 kJ/mol)−(2×368 kJ/mol)ΔH=(4.35 kJ/mol+192 kJ/mol)−(2×368 kJ/mol)
ΔH=(196.35 kJ/mol)−(736 kJ/mol)ΔH=(196.35 kJ/mol)−(736 kJ/mol)
ΔH=−539.65 kJ/molΔH=−539.65 kJ/mol
Therefore, the enthalpy change (ΔHΔH) for the given reaction is -539.65 kJ/mol.
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