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Chapter 1: Problem 40

Cholesterol in blood is measured in milligrams of cholesterol per deciliter of blood. If the unit of measurement were changed to grams of cholesterol per milliliter of blood, what would a cholesterol reading of \(185 \mathrm{mg} / \mathrm{dL}\) translate to?

Short Answer

Expert verified
Question: Convert a cholesterol reading of 185 mg/dL to g/mL. Answer: The cholesterol reading of 185 mg/dL is equal to 0.00185 g/mL.

Step by step solution

01

Convert mass from milligrams to grams

To convert the mass of cholesterol from milligrams to grams, divide the given value (185 mg) by 1000, as there are 1000 milligrams in a gram: \(185 \mathrm{mg} \times \dfrac{1\mathrm{g}}{1000\mathrm{mg}}=0.185 \mathrm{g}\)
02

Convert volume from deciliters to milliliters

To convert the volume from deciliters (dL) to milliliters (mL), multiply the given value (1 dL) by 100, as there are 100 milliliters in a deciliter: \(1 \mathrm{dL} \times \dfrac{100\mathrm{mL}}{1\mathrm{dL}}=100 \mathrm{mL}\)
03

Divide the converted mass by the converted volume

Now, we need to divide the converted mass (0.185 grams) by the converted volume (100 mL) to find the cholesterol reading in the new unit of measurement (grams per milliliter): \(\dfrac{0.185 \mathrm{g}}{100\mathrm{mL}}=0.00185 \mathrm{g/mL}\) So, the cholesterol reading of \(185 \mathrm{mg/dL}\) would translate to \(0.00185 \mathrm{g/mL}\) when expressed in grams per milliliter.

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