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Balance the following chemical equation: Ca(HCO₃)₂ + Ca(OH)₂ → CaCO₃ + H₂O

Chemistry

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Step-by-step solution

5 steps

Let's balance the chemical equation step-by-step.

The unbalanced equation is:
Ca(HCO₃)₂ + Ca(OH)₂ → XCaCO₃ + YH₂O

  1. Count the number of atoms for each element on both sides of the equation.

    Reactants (Left Side):
    Calcium (Ca): 1 (from Ca(HCO₃)₂) + 1 (from Ca(OH)₂) = 2
    Hydrogen (H): 2 (from (HCO₃)₂) + 2 (from (OH)₂) = 4
    Carbon (C): 2 (from (HCO₃)₂)
    Oxygen (O): 6 (from (HCO₃)₂) + 2 (from (OH)₂) = 8

    Products (Right Side, with X=1, Y=1 initially):
    Calcium (Ca): 1 (from CaCO₃)
    Hydrogen (H): 2 (from H₂O)
    Carbon (C): 1 (from CaCO₃)
    Oxygen (O): 3 (from CaCO₃) + 1 (from H₂O) = 4

  2. Balance the Calcium (Ca) atoms.

    There are 2 Ca atoms on the reactant side and 1 Ca atom on the product side. To balance this, we place a coefficient of 2 in front of CaCO₃.
    Ca(HCO₃)₂ + Ca(OH)₂ → 2CaCO₃ + YH₂O
    So, X = 2.

  3. Re-count atoms and balance Carbon (C) atoms.

    Now, on the product side, we have 2 C atoms (from 2CaCO₃). On the reactant side, we also have 2 C atoms (from Ca(HCO₃)₂). Carbon is now balanced.

  4. Balance the Hydrogen (H) atoms.

    On the reactant side, there are 4 H atoms. On the product side, there are 2 H atoms (from H₂O). To balance this, we place a coefficient of 2 in front of H₂O.
    Ca(HCO₃)₂ + Ca(OH)₂ → 2CaCO₃ + 2H₂O
    So, Y = 2.

  5. Check the Oxygen (O) atoms to ensure everything is balanced.

    Reactants: 6 O (from Ca(HCO₃)₂) + 2 O (from Ca(OH)₂) = 8 O
    Products: 6 O (from 2CaCO₃) + 2 O (from 2H₂O) = 8 O
    Oxygen atoms are balanced.

    The final balanced equation is:
    Ca(HCO₃)₂ + Ca(OH)₂ → 2CaCO₃ + 2H₂O

    Therefore, X is 2 and Y is 2.

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