Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the chemical formula
The chemical formula is $$K_{3}PO_{4}$$, which contains:
- 3 potassium (K) atoms - 1 phosphorus (P) atom - 4 oxygen (O) atoms
Step 3:: Look up the atomic masses
- Oxygen (O): $$15.9994 \frac{\mathrm{g}}{\mathrm{mol}}
- Phosphorus (P): 30.9738 \frac{\mathrm{g}}{\mathrm{mol}}
Step 4:: Calculate the mass of potassium atoms
3 \times 39.0983 = 117.2949 \frac{\mathrm{g}}{\mathrm{mol}}
Step 5:: Calculate the mass of phosphorus atom
1 \times 30.9738 = 30.9738 \frac{\mathrm{g}}{\mathrm{mol}}
Step 6:: Calculate the mass of oxygen atoms
4 \times 15.9994 = 63.9976 \frac{\mathrm{g}}{\mathrm{mol}}
Step 7:: Sum the individual atomic masses
117.2949 + 30.9738 + 63.9976 = 212.2663 \frac{\mathrm{g}}{\mathrm{mol}}
Final Answer
The molar mass of K_{3}PO_{4} is 212.27 \frac{\mathrm{g}}{\mathrm{mol}} (rounded to two decimal places).
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