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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the elements in the compound
The compound Ba(2$)2 contains: - 1 Barium (Ba) atom - 2 groups of C^2H^3O^2 (acetate groups)
Step 3:: Calculate the atomic masses
- Oxygen (O): $$m_{O} = 16.00 \mathrm{~g/mol}
- Carbon (C): m_{C} = 12.01 \mathrm{~g/mol}
Step 4:: Calculate the mass of one C^2H^3O^2 group
- Total mass of C2H3O2: $$24.02 + 3.024 + 32.00 = 59.044 \mathrm{~g/mol}
- Hydrogen: 3 \times 1.008 = 3.024 \mathrm{~g/mol}
Step 5:: Calculate the total molar mass
- Total molar mass: $$137.33 + 118.088 = 255.418 \mathrm{~g/mol}
- Two C^2H^3O^2 groups: 2 \times 59.044 = 118.088 \mathrm{~g/mol}
Final Answer
The molar mass of Ba(C^2H^3O2)2 is 255.418 \mathrm{~g/mol}.
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