Question

How many hydrogen atoms are present in 5.00 mg of aspartame?

Answer 1

Aspartamate is methyl ester of aspartic acid. It is used as an artificial sweetener in foods and beverages. The molecular formula of aspartamate is: C₁₄H₁₈N₂O₅. Molecular mass of aspartamate is 294.3 g/mol.

294.3 g of aspartamate contains 1 mol of aspartamate= 6.023 X 10²³ number of aspartamate molecules. So, 5 mg of aspartamate contains (5 X 6.023 X 10²³)/ (294.3 X 1000) = 1.023 X 10¹⁹ number of aspartamate molecules. Each molecule of aspartamate has 18 H-atoms, so, 5 mg i.e, 1.023 X 10¹⁹ number of aspartamate molecules contain 18 X 1.023 X 10¹⁹= 1.84 X 10²⁰ number of hydrogen atoms.