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Calcium Oxide Formula (CaO): Writing the Ionic Compound Formula

What is the calcium oxide formula, and how is it obtained from the charges of calcium and oxide ions?

Subject: General Chemistry Chapter: Chemical Compounds Topic: Naming Binary Compounds of Metals and Nonmetals Answer included
calcium oxide formula CaO formula ionic compound formula calcium ion oxide ion charge balance formula unit empirical formula
Accepted answer Answer included

Calcium oxide formula

The calcium oxide formula is CaO. Calcium oxide is an ionic compound, so its formula represents the simplest whole-number ratio of ions (a formula unit), not a discrete molecule.

Step-by-step: determine the ionic charges

  1. Calcium forms a \(2+\) ion. Calcium is in Group 2, so it commonly loses two electrons to form \( \mathrm{Ca^{2+}} \).
  2. Oxygen forms a \(2-\) ion (oxide). Oxygen is in Group 16, so it commonly gains two electrons to form \( \mathrm{O^{2-}} \).

Step-by-step: enforce charge neutrality

An ionic compound must be electrically neutral, meaning total positive charge equals total negative charge. Let the formula be \( Ca_xO_y \).

\[ 2x = 2y \quad \Rightarrow \quad x = y \]

The smallest whole-number solution is \(x=1\) and \(y=1\), giving \( \mathrm{CaO} \).

Quick check table (charges and ratio)

Ion Charge How many needed Total charge contributed
Calcium ion, \( \mathrm{Ca^{2+}} \) \(+2\) 1 \(+2\)
Oxide ion, \( \mathrm{O^{2-}} \) \(-2\) 1 \(-2\)
Net \(0\)

Visualization: charge balancing to obtain CaO

Ions and Charges Smallest Ratio Ca 2+ charge +2 O 2− charge −2 balance charges CaO 1 Ca2+ : 1 O2− Net charge = 0 Neutrality condition: (+2) + (−2) = 0 → Formula Unit = CaO
The calcium oxide formula comes from matching charges: one \( \mathrm{Ca^{2+}} \) balances one \( \mathrm{O^{2-}} \), giving the neutral formula unit CaO.

Optional extension: formula mass of CaO

If the calcium oxide formula is CaO, the formula mass is the sum of atomic masses:

\[ M(\mathrm{CaO}) \approx 40.08 + 16.00 = 56.08\ \text{g/mol} \]

Final result

The calcium oxide formula is CaO, obtained by combining \( \mathrm{Ca^{2+}} \) and \( \mathrm{O^{2-}} \) in the smallest neutral ratio \(1:1\).

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