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

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.

a: 45.9 meters

b: 4.29 seconds

step-by-step explanation:

a: h(t)=1/2(-9.8)(3)^2+0(3)+90

h(t)=-4.9(3)^2+90

h(t)=-44.1+90

h(t)=45.9 meters

b: 0=1/2(-9.8)(t^2)+0t+90

0=-4.9t^2+90

-90=-4.9t^2

18.37=t^2

t=4.29 seconds

in the second question, the numbers aren't exact, but they're a close approximation.