What is the formula for copper(II) phosphide

What is the formula for copper(II) phosphide?
Give your answer in the form A#B# where the number is the subscript.

The Correct Answer and Explanation is:

The formula for copper(II) phosphide is Cu3P2.

To determine the formula of copper(II) phosphide, we start by examining the charges of copper and phosphorus ions in this compound.

  1. Copper Ion (Cu²⁺): The “(II)” in copper(II) phosphide indicates that copper has a +2 oxidation state, meaning each copper ion has a charge of +2. This ion is represented as ( \text{Cu}^{2+} ).
  2. Phosphide Ion (P³⁻): Phosphorus, when it forms an ion in compounds like phosphides, typically takes on a -3 charge. This ion is represented as ( \text{P}^{3-} ).

In an ionic compound, the total positive and negative charges must balance to make the compound neutral. Therefore, we need to combine copper ions and phosphide ions in a ratio that neutralizes the charges.

To find this ratio, we look for the least common multiple (LCM) of the charges on Cu²⁺ and P³⁻:

  • The LCM of 2 and 3 is 6.

To achieve a neutral compound, we need a total of +6 charge from copper ions and -6 charge from phosphide ions:

  • Copper ions: To achieve +6, we need three Cu²⁺ ions, as ( 3 \times (+2) = +6 ).
  • Phosphide ions: To achieve -6, we need two P³⁻ ions, as ( 2 \times (-3) = -6 ).

Thus, the formula that balances the charges is Cu₃P₂, where three copper ions combine with two phosphide ions.

Summary:

  • Copper(II) phosphide has a formula of Cu₃P₂, meaning three copper (Cu) atoms for every two phosphorus (P) atoms.
  • The charges of the ions, ( \text{Cu}^{2+} ) and ( \text{P}^{3-} ), dictate this 3:2 ratio to achieve charge neutrality.

This approach of balancing ionic charges is fundamental to determining formulas for ionic compounds, ensuring that the resulting compound is electrically neutral.

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