QQuestionChemistry
QuestionChemistry
Calculate the molecular weight of ammonium sulfate [(NH₄)₂SO₄].
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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 $$\mathrm{(NH_{4})_{2}SO_{4}}
Step 3:: Determine the atomic weights
- Oxygen (O): $$15.9994 \mathrm{~g/mol}
- Hydrogen (H): 1.00794 \mathrm{~g/mol}
Step 4:: Calculate the weight of the nitrogen atoms
- Weight of N: $$2 \times 14.0067 = 28.0134 \mathrm{~g/mol}
- Number of N atoms: 2
Step 5:: Calculate the weight of the hydrogen atoms
- Weight of H: $$8 \times 1.00794 = 8.06352 \mathrm{~g/mol}
- Number of H atoms: 8 (4 × 2)
Step 6:: Calculate the weight of the sulfur atom
- Weight of S: $$1 \times 32.065 = 32.065 \mathrm{~g/mol}
- Number of S atoms: 1
Step 7:: Calculate the weight of the oxygen atoms
- Weight of O: $$4 \times 15.9994 = 63.9976 \mathrm{~g/mol}
- Number of O atoms: 4
Step 8:: Sum the atomic weights
28.0134 + 8.06352 + 32.065 + 63.9976 = 132.1396 \mathrm{~g/mol}
Final Answer
The molecular weight of ammonium sulfate \mathrm{(NH_{4})_{2}SO_{4}} is 132.14 \mathrm{~g/mol} (rounded to two decimal places).
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