Concept explainers
A patient has a “cholesterol count” of 214. Like manyblood-chemistry measurements,this result is measured inunits of milligrams per deciliter
Determine the molar concentration of cholesterol inthis patient’s blood, taking the molar mass of cholesterolto be
- Estimate the molality of cholesterol in the patient’sblood.
- If 214 is a typical cholesterol reading among men inthe United States, determine the volume of such bloodrequired to furnish 8.10 g of cholesterol.
(a)
Interpretation: The molar concentration of cholesterol in blood of patient needs to be calculated by taking molar mass of cholesterol equal to 386.64 g/mol.
Concept Introduction: The molar concentration or molarity of a substance is number of moles of solute in 1 L of the solution.
Explanation of Solution
The cholesterol count of patient is 214 mg dL-1.
Thus, molar concentration of cholesterol (mol/L) can be calculated as follows:
Here, C is molar concentration, X is cholesterol count and M is molar mass.
Substitute the values,
Therefore, molar concentration of cholesterol is
(b)
Interpretation: The molality of cholesterol in the patient’s blood needs to be estimated.
Concept Introduction: The molality of a substance is number of moles of a substance in 1 kg of solvent.
Explanation of Solution
It is related to molarity of solution or molar concentration of solution as follows:
Here, M is molarity,
In the given case, solute is cholesterol and solvent is blood. The relation between molarity (molar concentration) and molality of solution is as follows:
Here, molarity of solution is
Substitute the values,
Thus, the molality of solution is
(c)
Interpretation: The volume of blood required to furnish 8.10 g of cholesterol needs to be calculated.
Concept Introduction: To calculate the volume of blood requited for given mass of cholesterol, unitary method can be used. Here, mass of cholesterol in 1 dL of blood is given thus, volume of blood required for given mass of cholesterol can be calculated.
Explanation of Solution
The cholesterol count of patient is 214 mg dL-1. Thus, in 1 dL of blood there is 214 mg of cholesterol.
The volume of blood required for 8.10 g of cholesterol will be:
Therefore, volume of blood required is
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Chapter 11 Solutions
Principles of Modern Chemistry
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