Answer to Question #196796 in Chemistry for kristen

Question

Determine the mass of a sample of Vitamin D, C 27 H 44 O 2 , if it contains 2.4 x 10 22 hydrogen atoms.

Answer 1

Solution:

One mole of any substance contains 6.022×10²³ atoms/molecules.

Hence,

(2.4×10²² hydrogen atoms) × (1 mol / 6.022×10²³ atoms) = 0.03985 mol H

C₂₇H₄₄O₂ → 44H

According to the equation above: n(C₂₇H₄₄O₂) = n(H)/44

n(C₂₇H₄₄O₂) = (0.03985 mol) / 44 = 0.000906 mol

The molar mass of C₂₇H₄₄O₂ is 400.64 g/mol.

Hence,

(0.000906 mol C₂₇H₄₄O₂) × (400.64 g C₂₇H₄₄O₂ / 1 mol C₂₇H₄₄O₂) = 0.363 g C₂₇H₄₄O₂

Answer: 0.363 g of a sample of Vitamin D (C₂₇H₄₄O₂).