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Step 1:I'll solve this problem step by step, following the precise LaTeX formatting guidelines:
Step 2:: Identify the elements in the compound CaSO^4
- Calcium (Ca) - Sulfur (S) - Oxygen (O)
Step 3:: Look up the atomic masses from the periodic table
- Oxygen (O): $$m_{O} = 16.00 \mathrm{~g/mol}
- Sulfur (S): m_{S} = 32.07 \mathrm{~g/mol}
Step 4:: Calculate the number of atoms of each element
- Ca: 1 atom - S: 1 atom - O: 4 atoms
Step 5:: Calculate the molar mass by summing the masses of all atoms
\begin{align}
m_{CaSO_{4}} &= m_{Ca} + m_{S} + (4 \times m_{O}) \ &= 40.08 + 32.07 + (4 \times 16.00) \ &= 40.08 + 32.07 + 64.00 \ &= 136.15 \mathrm{~g/mol} \end{align}
Final Answer
The molar mass of CaSO^4 is 136.15 \mathrm{~g/mol}.
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