Math  /  Numbers & Operations

Questionc. Calculate the molar mass of salicylic acid and acetyl salicylic acid (Aspirin).

Studdy Solution

STEP 1

1. The chemical formula for salicylic acid is C7H6O3 \text{C}_7\text{H}_6\text{O}_3 .
2. The chemical formula for acetylsalicylic acid (Aspirin) is C9H8O4 \text{C}_9\text{H}_8\text{O}_4 .
3. The atomic masses are approximately: Carbon (C) = 12.01 g/mol, Hydrogen (H) = 1.01 g/mol, Oxygen (O) = 16.00 g/mol.
4. We need to calculate the molar mass by summing the atomic masses of each element in the compound.

STEP 2

1. Calculate the molar mass of salicylic acid.
2. Calculate the molar mass of acetylsalicylic acid.

STEP 3

Calculate the molar mass of salicylic acid (C7H6O3\text{C}_7\text{H}_6\text{O}_3).
- Calculate the total mass of carbon atoms: $ 7 \times 12.01 \, \text{g/mol} = 84.07 \, \text{g/mol} \]
- Calculate the total mass of hydrogen atoms: $ 6 \times 1.01 \, \text{g/mol} = 6.06 \, \text{g/mol} \]
- Calculate the total mass of oxygen atoms: $ 3 \times 16.00 \, \text{g/mol} = 48.00 \, \text{g/mol} \]
- Sum the masses to find the molar mass of salicylic acid: $ 84.07 \, \text{g/mol} + 6.06 \, \text{g/mol} + 48.00 \, \text{g/mol} = 138.13 \, \text{g/mol} \]

STEP 4

Calculate the molar mass of acetylsalicylic acid (C9H8O4\text{C}_9\text{H}_8\text{O}_4).
- Calculate the total mass of carbon atoms: $ 9 \times 12.01 \, \text{g/mol} = 108.09 \, \text{g/mol} \]
- Calculate the total mass of hydrogen atoms: $ 8 \times 1.01 \, \text{g/mol} = 8.08 \, \text{g/mol} \]
- Calculate the total mass of oxygen atoms: $ 4 \times 16.00 \, \text{g/mol} = 64.00 \, \text{g/mol} \]
- Sum the masses to find the molar mass of acetylsalicylic acid: $ 108.09 \, \text{g/mol} + 8.08 \, \text{g/mol} + 64.00 \, \text{g/mol} = 180.17 \, \text{g/mol} \]
The molar mass of salicylic acid is 138.13g/mol \boxed{138.13 \, \text{g/mol}} and the molar mass of acetylsalicylic acid is 180.17g/mol \boxed{180.17 \, \text{g/mol}} .

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