Jane Doe has a cholesterol (C₂₇H₄₆O) count of 178 mg/dL. You would like to calculate the number of cholesterol molecules that Jane Doe has in each deciliter of blood. Which of the following unit conversions are required to calculate the number of cholesterol molecules per deciliter? I. 10 dL II. 1 mole III. 1 g____ IV. 6.02 * 10²³ molecules
1 L 387 g 1000 mg 1 mole

Question

Quizplus · Accepted Answer

To convert the quantity of cholesterol in mg/dL to the number of cholesterol molecules per deciliter, we need to use the following conversions:
1. Conversion from mg to g (option III): Each milligram is 1/1000 of a gram, so we need to divide the cholesterol quantity by 1000 to get the value in grams.
2. Conversion from g to moles (option II): To calculate the number of molecules, we need to know the number of moles of cholesterol. This can be calculated by dividing the mass of cholesterol (in grams) by its molar mass.
3. Conversion from moles to molecules (option IV): Once we know the number of moles, we can use Avogadro's number (6.02 x 10^23 molecules per mole) to convert to the number of cholesterol molecules.
4. Conversion from dL to L (option I): The final result should be in molecules per deciliter, so we need to convert the volume from milliliters to liters by dividing by 10.

Therefore, all of the conversions provided are needed to calculate the number of cholesterol molecules per deciliter. Option E is the best choice.

Jane Doe Has a Cholesterol (C27H46O) Count of 178 Mg/dL

Jane Doe Has a Cholesterol (C₂₇H₄₆O) Count of 178 Mg/dL