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

Aspartame (Nutrasweet): C14 H18 N2 O5.
Transcript text: Aspartame (Nutrasweet): $\mathrm{C}_{14} \mathrm{H}_{18} \mathrm{~N}_{2} \mathrm{O}_{5}$.
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Solution

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Solution Steps

Step 1: Identify Atomic Masses

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
Step 2: Calculate the Contribution of Each Element

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

  • Carbon: 14×12.01=168.14 amu14 \times 12.01 = 168.14 \, \text{amu}
  • Hydrogen: 18×1.008=18.144 amu18 \times 1.008 = 18.144 \, \text{amu}
  • Nitrogen: 2×14.01=28.02 amu2 \times 14.01 = 28.02 \, \text{amu}
  • Oxygen: 5×16.00=80.00 amu5 \times 16.00 = 80.00 \, \text{amu}
Step 3: Sum the Contributions

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

Final Answer

FM=294.3 amu \boxed{\text{FM} = 294.3 \, \text{amu}}

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