Jane Doe has a cholesterol (C27H46O) count of 178 mg/dL. How many cholesterol molecules does Jane Doe have in each deciliter of blood?

Jane has 2.77 * 10^20 molecules cholesterol in 1 dL of blood

Explanation:

Step 1: Given data

Molar mass of Cholesterol = 386.654 g/mol

Jane has a cholesterol of 178 mg/dL

Step 2: Calculate mass of cholsterol in 1 dL

178 mg/dL means in 1 dL she has 178 mg cholesterol or 0.178 grams

Step 3: Calculate number of moles of cholesterol

Number of moles = mass of cholesterol / molar mass of cholesterol

Number of moles = 0.178 grams / 386.654 g/mol = 4.6 * 10^-4 moles

Step 4: Calculate number of molecules

Number of molecules = 4.6 * 10^-4 mol * 6.022 * 10^23 / mol = 2.77 * 10^20 molecules

Jane has 2.77 * 10^20 molecules cholesterol in 1 dL of blood