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QUESTION

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

This is a double replacement reaction. Here's how to

"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"