Questions: Aspartame (Nutrasweet): C14 H18 N2 O5.

Solution Steps

First, we need to identify the atomic masses of each element in the molecular formula of aspartame:

• Carbon (C): 12.01 amu
• Hydrogen (H): 1.008 amu
• Nitrogen (N): 14.01 amu
• Oxygen (O): 16.00 amu

Next, we calculate the total mass contribution of each element in the formula:

• Carbon: \(14 \times 12.01 = 168.14 \, \text{amu}\)
• Hydrogen: \(18 \times 1.008 = 18.144 \, \text{amu}\)
• Nitrogen: \(2 \times 14.01 = 28.02 \, \text{amu}\)
• Oxygen: \(5 \times 16.00 = 80.00 \, \text{amu}\)

Finally, we sum the contributions of all elements to find the formula mass (FM) of aspartame: \[ \text{FM} = 168.14 + 18.144 + 28.02 + 80.00 = 294.304 \, \text{amu} \]

Final Answer