How can I balance this chemical equation? Sodium phosphate and calcium chloride react to form calcium phosphate and sodium chloride

Md Ariful Islam

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Md Ariful Islam

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Your unbalanced equation is

$"Na"_3"PO"_4 + "CaCl"_2 → "Ca"_3("PO"_4)_2 + "NaCl"$

1. Start with the most complicated formula, $"Ca"_3("PO"_4)_2$.

Put a 1 in front of it. We have now fixed the number of $"Ca"$ atoms and $"PO"_4$ groups.

$"Na"_3"PO"_4 + "CaCl"_2 →color(red)(1)"Ca"_3("PO"_4)_2 + "NaCl"$

2. Balance $"Ca"$. Put a 3 in front of $"CaCl"_2$.

$"Na"_3"PO"_4 + color(blue)(3)"CaCl"_2 → color(red)(1)"Ca"_3("PO"_4)_2 + "NaCl"$

.

3. Balance $"PO"_4$. Put a 2 in front of $"Na"_3"PO"_4$.

$color(orange)(2)"Na"_3"PO"_4 + color(blue)(3)"CaCl"_2 → color(red)(1) "Ca"_3("PO"_4)_2 + "NaCl"$

4. Balance $"Na"$. Put a 6 in front of $"NaCl"$.

$color(orange)(2) "Na"_3"PO"_4 + color(blue)(3) "CaCl"_2 → color(red)(1)"Ca"_3("PO"_4)_2 + color(teal)(6) "NaCl"$

5. Every formula has a coefficient.

The equation should be balanced. Let's check.

Left hand side: $"6 Na; 2 PO"_4"; 3 Ca; 6 Cl"$
Right hand side: $"3 Ca; 2 PO"_4"; 6 Na; 6 Cl"$.

Everything checks. the balanced equation is

$"2Na"_3"PO"_4 + "3CaCl"_2 → "Ca"_3("PO"_4)_2 + "6NaCl"$

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