What is the molar mass of aspartic acid, $C_4{H}_{7}N{O}_4$?

• A. $115.09\frac{g}{\mathrm{mol}}$
• B. $121.10\frac{g}{\mathrm{mol}}$
• C. $133.10\frac{g}{\mathrm{mol}}$
• D. $147.13\frac{g}{\mathrm{mol}}$

Answer: (C)

Verified step by step guidance

1. Identify the molecular formula of aspartic acid, which is C\_4H\_7NO\_4. This means the molecule contains 4 carbon atoms, 7 hydrogen atoms, 1 nitrogen atom, and 4 oxygen atoms.
2. Find the atomic masses of each element from the periodic table: Carbon (C) ≈ 12.01 g/mol, Hydrogen (H) ≈ 1.008 g/mol, Nitrogen (N) ≈ 14.01 g/mol, Oxygen (O) ≈ 16.00 g/mol.
3. Calculate the total mass contributed by each element by multiplying the number of atoms by their atomic masses: For carbon, multiply 4 by 12.01; for hydrogen, multiply 7 by 1.008; for nitrogen, multiply 1 by 14.01; for oxygen, multiply 4 by 16.00.
4. Add all these individual masses together to get the molar mass of aspartic acid: \( \text{Molar mass} = (4 \times 12.01) + (7 \times 1.008) + (1 \times 14.01) + (4 \times 16.00) \).
5. Sum the values from the previous step to find the total molar mass in grams per mole (g/mol), which corresponds to the molar mass of aspartic acid.