Calculate the molarity of each of the following solutions:...

Calculate the molarity of each of the following solutions: (a) $0.195 \mathrm{g}$ of cholesterol, $\mathrm{C}_{27} \mathrm{H}_{46} \mathrm{O},$ in $0.100 \mathrm{L}$ of serum, the average concentration of cholesterol in human serum (b) $4.25 \mathrm{g}$ of $\mathrm{NH}_{3}$ in $0.500 \mathrm{L}$ of solution, the concentration of $\mathrm{NH}_{3}$ in household ammonia (c) 1.49 kg of isopropyl alcohol, $C_{3} \mathrm{H}_{7} \mathrm{OH}$, in $2.50 \mathrm{L}$ of solution, the concentration of isopropyl alcohol in rubbing alcohol (d) $0.029 \mathrm{g}$ of $\mathrm{I}_{2}$ in $0.100 \mathrm{L}$ of solution, the solubility of $\mathrm{I}_{2}$ in water at $20^{\circ} \mathrm{C}$

Calculate the molarity of each of the following solutions:
(a) $0.195 \mathrm{g}$ of cholesterol, $\mathrm{C}_{27} \mathrm{H}_{46} \mathrm{O},$ in $0.100 \mathrm{L}$ of serum, the average concentration of cholesterol in human serum
(b) $4.25 \mathrm{g}$ of $\mathrm{NH}_{3}$ in $0.500 \mathrm{L}$ of solution, the concentration of $\mathrm{NH}_{3}$ in household ammonia
(c) 1.49 kg of isopropyl alcohol, $C_{3} \mathrm{H}_{7} \mathrm{OH}$, in $2.50 \mathrm{L}$ of solution, the concentration of isopropyl alcohol in rubbing alcohol
(d) $0.029 \mathrm{g}$ of $\mathrm{I}_{2}$ in $0.100 \mathrm{L}$ of solution, the solubility of $\mathrm{I}_{2}$ in water at $20^{\circ} \mathrm{C}$

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Key Concepts

Molarity

Molarity is a measure of concentration, defined as the number of moles of a solute present per liter of solution. It is commonly used in chemistry to express the concentration of chemical species in a solution, and its calculation involves converting the mass of the solute to moles and then dividing by the volume of the solution in liters.

Moles

The mole is a fundamental unit in chemistry representing a specific number of particles, typically atoms or molecules. Calculating the number of moles involves using the mass of the substance and its molar mass. This conversion from grams to moles is crucial when determining how much of a chemical is present in a solution.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole. It is calculated by summing the atomic masses of all atoms in a given molecular formula. This concept is essential for converting between the mass of a substance and the number of moles, a step necessary for calculating molarity.

Dimensional Analysis

Dimensional analysis is a systematic method used to convert one unit to another using conversion factors. In the context of these calculations, it is used to ensure that units such as grams, moles, and liters are properly converted and canceled out, leading to correctly expressed concentrations like molarity.

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