Question

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Answer 1

Formula = C14H18N2O5
Mass of 14 C = 12 × 14 = 168 u
Mass of 18 H = 1 × 18 = 18 u
Mass of 2 N = 14 × 2 = 28 u
Mass of 5 O = 16 × 5 = 80 u

Hence, its total mass = 294 u

Answer 2

One atom of Carbon weighs : 12 × u

where 'u' is the unified mass which is equal to : 1.66 × 10⁻²⁴ grams

One atom of Hydrogen weighs : 1 × u

One atom of Nitrogen weighs : 14 × u  

One atom of Oxygen weighs : 16 × u

Given the Molecular Formula for Aspartame : C₁₄H₁₈N₂O₅

⇒ Each Aspartame contains 14 Carbons atoms of Weight : 14 × 12u

⇒  Each Aspartame contains 18 Hydrogen atoms of Weight : 18 × u

⇒  Each Aspartame contains 2 Nitrogen atoms of Weight : 2 × 14u

⇒  Each Aspartame contains 5 Oxygen atoms of Weight : 5 × 16u

⇒ Total Mass of One Molecule of Aspartame : (14 × 12u) + 18u + (2 × 14u) + (5 × 16u)

⇒ Total Mass of One Molecule of Aspartame : 168u + 18u + 28u + 80u = 294u

But unified mass 'u' = 1.66 × 10⁻²⁴ grams

⇒ Mass of One Molecule of Aspartame in grams = 294 × 1.66 × 10⁻²⁴ grams

⇒ Mass of One Molecule of Aspartame in grams = 4.88 × 10⁻²² grams