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Multiple Choice
Which of the following is the correct formula for the ionic compound formed from barium and phosphorus?
A
Ba3P2
B
BaPO4
C
BaP
D
Ba2P3
Verified step by step guidance
1
Identify the charges of the ions formed by barium and phosphorus. Barium is an alkaline earth metal in Group 2, so it forms a cation with a charge of +2, written as $\mathrm{Ba^{2+}}$.
Phosphorus is a nonmetal in Group 15, and it typically forms an anion with a charge of -3, written as $\mathrm{P^{3-}}$.
To form a neutral ionic compound, the total positive charge must balance the total negative charge. Set up the charge balance equation: $2x = 3y$, where $x$ is the number of barium ions and $y$ is the number of phosphorus ions.
Find the smallest whole number ratio of $x$ and $y$ that satisfies the charge balance. The least common multiple of 2 and 3 is 6, so multiply barium ions by 3 and phosphorus ions by 2 to get $3 \times (+2) = +6$ and $2 \times (-3) = -6$.
Write the formula using the ratio found: $\mathrm{Ba_3P_2}$, which shows 3 barium ions and 2 phosphorus ions combined to form a neutral ionic compound.