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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the atomic composition of salicylic acid (C^7H^6O3)
- Carbon (C): 7 atoms - Hydrogen (H): 6 atoms - Oxygen (O): 3 atoms
Step 3:: Look up the atomic masses of each element
- Oxygen (O): $$15.9994 \frac{g}{mol}
- Hydrogen (H): 1.00794 \frac{g}{mol}
Step 4:: Calculate the mass contribution of each element
- Oxygen: $$3 \times 15.9994 = 47.9982 \frac{g}{mol}
- Hydrogen: 6 \times 1.00794 = 6.04764 \frac{g}{mol}
Step 5:: Sum the individual atomic masses
98.0469 + 6.04764 + 47.9982 = 152.09274 \frac{g}{mol}
Final Answer
The molar mass of salicylic acid (C^7H^6O3) is 138.12 \frac{g}{mol} (rounded to two decimal places).
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