This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.

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Answer
X is 2
Let's balance the chemical equation step-by-step.
The unbalanced equation is: Ca(HCO₃)₂ + Ca(OH)₂ → XCaCO₃ + YH₂O
Step 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
Step 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.
Step 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.
Step 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.
Step 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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The unbalanced equation is: Ca(HCO₃)₂ + Ca(OH)₂ → XCaCO₃ + YH₂O Step 1: Count the number of atoms for each element on both sides of the equation.
This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.