Plumbic nitride has four N³

Plumbic nitride has four N³? (s) and three Pb?? (s). What is its chemical formula (for order of atoms as well as count)? [Pb??]? [N³?]? 4 N³? 3 Pb?? [N³?]? [Pb??]? Pb?N? None of these is correct

The Correct Answer and Explanation is:

The correct answer is: Pb₃N₄


Explanation:

To determine the correct chemical formula for plumbic nitride, we need to consider the charges and the correct ratio in which the ions combine to form a neutral compound.

Step 1: Identify the Ions

  • Plumbic ion (Pb⁴⁺): This is a lead ion with a +4 charge.
  • Nitride ion (N³⁻): This is a nitrogen ion with a -3 charge.

Step 2: Total Charges

We are told:

  • There are 3 Pb⁴⁺ ions → total positive charge = 3 × (+4) = +12
  • There are 4 N³⁻ ions → total negative charge = 4 × (−3) = −12

Since +12 and −12 add to zero, the compound is electrically neutral, which is a requirement for any stable ionic compound.

Step 3: Write the Chemical Formula

When writing ionic formulas:

  1. The cation (positive ion) comes first: Pb
  2. The anion (negative ion) comes second: N
  3. The subscripts indicate how many of each ion are present, based on the ratio that balances charges.

So with 3 Pb⁴⁺ and 4 N³⁻, the formula is:

Pb₃N₄

This is the simplest whole-number ratio of ions that results in a neutral compound.

Why Other Options Are Incorrect:

  • Options like [Pb4+]3[N3−]4[Pb^{4+}]^3[N^{3-}]^4 describe the ions but not the chemical formula.
  • “4 N³⁻ 3 Pb⁴⁺” is a ratio, not a proper formula.
  • “None of these is correct” is incorrect because Pb₃N₄ is correct.

Final Answer: Pb₃N₄

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