How many atoms of each element are in [tex]$4 Na_3 PO_4$[/tex]?

A. 3 sodium, 1 phosphorus, 4 oxygen
B. 4 sodium, 4 phosphorus, 4 oxygen
C. 12 sodium, 1 phosphorus, 4 oxygen
D. 12 sodium, 4 phosphorus, 16 oxygen



Answer :

To determine how many atoms of each element are in [tex]\(4 \, \text{Na}_3\text{PO}_4\)[/tex], let's break it down step-by-step.

1. Identify the number of atoms of each element in a single molecule of [tex]\( \text{Na}_3\text{PO}_4 \)[/tex]:
- Sodium (Na): There are 3 sodium atoms in one molecule of [tex]\( \text{Na}_3\text{PO}_4 \)[/tex].
- Phosphorus (P): There is 1 phosphorus atom in one molecule of [tex]\( \text{Na}_3\text{PO}_4 \)[/tex].
- Oxygen (O): There are 4 oxygen atoms in one molecule of [tex]\( \text{Na}_3\text{PO}_4 \)[/tex].

2. Calculate the number of atoms of each element in 4 molecules of [tex]\( \text{Na}_3\text{PO}_4 \)[/tex]:
- Sodium (Na):
[tex]\[ 3 \text{ (atoms per molecule)} \times 4 \text{ (molecules)} = 12 \text{ sodium atoms} \][/tex]
- Phosphorus (P):
[tex]\[ 1 \text{ (atom per molecule)} \times 4 \text{ (molecules)} = 4 \text{ phosphorus atoms} \][/tex]
- Oxygen (O):
[tex]\[ 4 \text{ (atoms per molecule)} \times 4 \text{ (molecules)} = 16 \text{ oxygen atoms} \][/tex]

Thus, in [tex]\( 4 \,\text{Na}_3\text{PO}_4 \)[/tex], there are:

- [tex]\( 12 \)[/tex] sodium atoms,
- [tex]\( 4 \)[/tex] phosphorus atoms,
- [tex]\( 16 \)[/tex] oxygen atoms.

Therefore, the correct answer is:
[tex]\[ 12 \, \text{sodium (Na)}, 4 \, \text{phosphorus (P)}, 16 \, \text{oxygen (O)} \][/tex]

So, the answer is:

[tex]\[ \boxed{12 \text{ sodium, 4 phosphorus, 16 oxygen}} \][/tex]