Calculate the molality of each of the following solutions: (a) 2.0 mol HCl in 175 g water (b)

step 1 So molality is moles of solute per kilogram of solvent. And the moles of solute was given in eac

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

Calculate the molality of each of the following solutions: (a) $2.0 \mathrm{~mol} \mathrm{HCl}$ in $175 \mathrm{~g}$ water (b) $14.5 \mathrm{~g} \mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}$ in $550.0 \mathrm{~g}$ water (c) $25.2 \mathrm{~mL}$ methanol, $\mathrm{CH}_{3} \mathrm{OH}(d=0.791 \mathrm{~g} / \mathrm{mL})$ in $595 \mathrm{~g}$ ethanol, $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}$

Calculate the molality of each of the following solutions:
(a) $2.0 \mathrm{~mol} \mathrm{HCl}$ in $175 \mathrm{~g}$ water
(b) $14.5 \mathrm{~g} \mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}$ in $550.0 \mathrm{~g}$ water
(c) $25.2 \mathrm{~mL}$ methanol, $\mathrm{CH}_{3} \mathrm{OH}(d=0.791 \mathrm{~g} / \mathrm{mL})$ in $595 \mathrm{~g}$ ethanol, $\mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{OH}$

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Key Concepts

Molality

Molality is a measure of the concentration of a solution, defined as the number of moles of solute per kilogram of solvent. It is particularly useful in scenarios involving temperature changes because, unlike volume-based concentrations, the mass of the solvent remains constant.

Moles

The concept of moles quantifies the amount of a substance by relating mass to the substance's molar mass. It is essential in converting the mass of a solute into the number of particles, thus providing a basis for calculating concentration measures such as molality.

Mass of Solvent

Determining the mass of the solvent in the appropriate units (typically kilograms) is vital for calculating molality. This process often involves converting from grams to kilograms, and it emphasizes the role of the solvent's mass in concentration calculations.

Density

Density is the physical property that relates the mass of a substance to its volume. It is especially important when a component of the solution (solute or solvent) is given in terms of volume, as it facilitates the conversion to mass required for concentration calculations like molality.

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