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What is the bond dissociation energy of the H-O bond in water (H2O)? Show your calculation steps and include any necessary assumptions or data.

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The bond dissociation energy  BDE  of a molecule is the energy required to break a specific bond in the molecule. In the case of water  H2O , we are interested in the BDE of the H-O bond. To calculate this, we need to know the enthalpy of formation of water and the enthalpy of formation of the individual atoms  H and O .1. Enthalpy of formation of water  H2O : Hf H2O  = -285.8 kJ/mol2. Enthalpy of formation of hydrogen  H2  and oxygen  O2  molecules:Hf H2  = 0 kJ/mol  since hydrogen is in its elemental form Hf O2  = 0 kJ/mol  since oxygen is in its elemental form Now, we can use Hess's Law to calculate the BDE of the H-O bond. Hess's Law states that the total enthalpy change for a reaction is the same, regardless of the path taken. In this case, we can consider the following reaction:H2O  g   H  g  + OH  g We can break this reaction down into two steps:Step 1: H2O  g   H2  g  + 1/2 O2  g Step 2: H2  g  + 1/2 O2  g   H  g  + OH  g Now, we can calculate the enthalpy change for each step:H1 = Hf H2  + 1/2 Hf O2  - Hf H2O  = 0 + 0 -  -285.8  = 285.8 kJ/molFor step 2, we need to know the BDE of the O-H bond in the hydroxyl radical  OH . This value is typically given in reference tables:BDE O-H  in OH = 428 kJ/molH2 = BDE O-H  in OH = 428 kJ/molNow, we can calculate the total enthalpy change for the reaction:H = H1 + H2 = 285.8 kJ/mol + 428 kJ/mol = 713.8 kJ/molThus, the bond dissociation energy of the H-O bond in water  H2O  is approximately 713.8 kJ/mol.
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