Calculate the molality of each of the following solutions: (a) 1.25 mol CaCl in 750.0 g water

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

Calculate the molality of each of the following solutions: (a) $1.25 \mathrm{~mol} \mathrm{CaCl}$ in $750.0 \mathrm{~g}$ water (b) $2.5 \mathrm{~g} \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$ in $525 \mathrm{~g}$ water (c) $17.5 \mathrm{~mL}$ 2-propanol, $\left(\mathrm{CH}_{3}\right)_{2} \mathrm{CHOH}(d=0.785 \mathrm{~g} / \mathrm{mL})$ in $35.5 \mathrm{~mL} \mathrm{} \mathrm{H}_{2} \mathrm{O}(d=1.00 \mathrm{~g} / \mathrm{mL})$

Calculate the molality of each of the following solutions:
(a) $1.25 \mathrm{~mol} \mathrm{CaCl}$ in $750.0 \mathrm{~g}$ water
(b) $2.5 \mathrm{~g} \mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$ in $525 \mathrm{~g}$ water
(c) $17.5 \mathrm{~mL}$ 2-propanol, $\left(\mathrm{CH}_{3}\right)_{2} \mathrm{CHOH}(d=0.785 \mathrm{~g} / \mathrm{mL})$ in $35.5 \mathrm{~mL} \mathrm{} \mathrm{H}_{2} \mathrm{O}(d=1.00 \mathrm{~g} / \mathrm{mL})$

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Key Concepts

Molality

Molality is a concentration unit defined as the number of moles of solute per kilogram of solvent. It is useful in scenarios where temperature changes may affect the volume, since it is based solely on mass.

Moles

Moles represent a fundamental unit in chemistry that quantifies the amount of substance. Calculating moles from either given mole amounts or by converting mass using molar masses is essential for determining solution concentrations.

Molar Mass

Molar mass is the mass of one mole of a substance, expressed in grams per mole. It is used to convert between the mass of a substance and the number of moles, which is a key step in concentration calculations.

Unit Conversion

Unit conversion is critical in these calculations, particularly converting grams to kilograms for solvent mass and ensuring that all units are consistent across the calculation to obtain an accurate value for molality.

Density

Density, defined as mass per unit volume, is crucial when converting volumes of liquids to mass, especially when the given quantities are in milliliters and the calculation requires mass in grams or kilograms.

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