CO2(g)+CaSiO3(s)+H2O(l)→SiO2(s)+Ca(HCO3)2(aq) Balance using smallest multiples
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2 CO2 + CaSiO3 + H2O = SiO2 + Ca(HCO3)2
To balance the given chemical equation:
CO2(g) + CaSiO3(s) + H2O(l) → SiO2(s) + Ca(HCO3)2(aq)
We need to make sure that the number of each type of atom is the same on both sides of the equation. Here are the steps to balance the equation using the smallest multiples:
Step 1: Count the number of each type of atom on both sides of the equation.
On the left side (reactants):
Carbon (C): 1
Oxygen (O): 2
Calcium (Ca): 1
Silicon (Si): 1
Hydrogen (H): 2
On the right side (products):
Silicon (Si): 1
Oxygen (O): 2
Carbon (C): 2
Hydrogen (H): 4
Calcium (Ca): 1
Step 2: Balance the atoms that appear in the fewest number first.
Let's start with Carbon (C) and Calcium (Ca), as they appear in the fewest numbers.
By inspecting the equation, it can be observed that the carbon atoms are already balanced.
To balance Calcium (Ca), we can put a coefficient of 1 in front of CaSiO3(s). This will give us:
CO2(g) + CaSiO3(s) + H2O(l) → SiO2(s) + Ca(HCO3)2(aq)
Now the number of Calcium (Ca) atoms is the same on both sides.
Step 3: Balance Oxygen (O) by adding coefficients.
Let's balance Oxygen (O) atoms next. The left side has a total of 2 oxygen atoms, while the right side has a total of 2 oxygen atoms from SiO2 and an additional 6 oxygen atoms from Ca(HCO3)2.
To balance the oxygen atoms, we can add a coefficient of 3 in front of CO2:
3 CO2(g) + CaSiO3(s) + H2O(l) → SiO2(s) + Ca(HCO3)2(aq)
Now, the left side has 6 oxygen atoms, and the right side has 8 oxygen atoms.
Step 4: Balance Hydrogen (H) atoms.
The left side has 2 hydrogen atoms, while the right side has 4 hydrogen atoms from H2O and an additional 2 hydrogen atoms from Ca(HCO3)2.
To balance the hydrogen atoms, we can add a coefficient of 4 in front of H2O:
3 CO2(g) + CaSiO3(s) + 4 H2O(l) → SiO2(s) + Ca(HCO3)2(aq)
Now, both sides have 8 hydrogen atoms.
Step 5: Verify the balance.
Finally, double-check that all the atoms are balanced:
Carbon (C): 3 on both sides.
Oxygen (O): 8 on both sides.
Hydrogen (H): 8 on both sides.
Calcium (Ca): 1 on both sides.
Silicon (Si): 1 on both sides.
Therefore, the balanced equation using the smallest multiples is:
3 CO2(g) + CaSiO3(s) + 4 H2O(l) → SiO2(s) + Ca(HCO3)2(aq)