If 291 g of a compound is added to 1.02 kg of water to increase the boiling point by 5.77^∘ C,

step 1 the solution is known as the solvent and the minor component are known as the solute, so we can

If 291 g of a compound is added to 1.02 kg of water to...

If $291 \mathrm{~g}$ of a compound is added to $1.02 \mathrm{~kg}$ of water to increase the boiling point by $5.77^{\circ} \mathrm{C}$, what is the molar mass of the added compound? (Assume a van 't Hoff factor of 1.) $\begin{array}{lll}31.1 \mathrm{~g} / \mathrm{mol} & 30.3 \mathrm{~g} / \mathrm{mol}\end{array}$ $\begin{array}{ll}28.5 \mathrm{~g} / \mathrm{mol} & 18.3 \mathrm{~g} / \mathrm{mol}\end{array}$ $25.3 \mathrm{~g} / \mathrm{mol}$ a.$31.1 \mathrm{~g} / \mathrm{mol}$ c.$28.5 \mathrm{~g} / \mathrm{mol}$ b.$30.3 \mathrm{~g} / \mathrm{mol}$ d$18.3 \mathrm{~g} / \mathrm{mol}$ e.$25.3 \mathrm{~g} / \mathrm{mol}$

If $291 \mathrm{~g}$ of a compound is added to $1.02 \mathrm{~kg}$ of water to increase the boiling point by $5.77^{\circ} \mathrm{C}$, what is the molar mass of the added compound? (Assume a van 't Hoff factor of 1.) $\begin{array}{lll}31.1 \mathrm{~g} / \mathrm{mol} & 30.3 \mathrm{~g} / \mathrm{mol}\end{array}$
$\begin{array}{ll}28.5 \mathrm{~g} / \mathrm{mol} & 18.3 \mathrm{~g} / \mathrm{mol}\end{array}$
$25.3 \mathrm{~g} / \mathrm{mol}$
a.$31.1 \mathrm{~g} / \mathrm{mol}$
c.$28.5 \mathrm{~g} / \mathrm{mol}$
b.$30.3 \mathrm{~g} / \mathrm{mol}$
d$18.3 \mathrm{~g} / \mathrm{mol}$
e.$25.3 \mathrm{~g} / \mathrm{mol}$

Key Concepts

Colligative Properties

Colligative properties are characteristics of solutions that depend solely on the number of solute particles present, rather than the chemical nature of the solute. They include phenomena such as boiling point elevation and freezing point depression, which are used to determine properties like the molar mass of an unknown solute.

Boiling Point Elevation

Boiling point elevation describes the increase in the boiling point of a solvent when a solute is dissolved in it. This property is directly proportional to the molality of the solution, allowing the calculation of molar mass if the change in boiling point and the mass of solute and solvent are known.

Molality

Molality is a concentration unit defined as the moles of solute per kilogram of solvent. It is used in colligative property calculations because it remains unaffected by temperature changes, making it ideal for determining solution properties like boiling point elevation.

Molar Mass

Molar mass is the mass of one mole of a substance, commonly expressed in grams per mole. In problems involving colligative properties, the molar mass is determined by using measured physical changes in the solvent, such as boiling point elevation, and relating these to the amount of substance dissolved.

van 't Hoff Factor

The van 't Hoff factor is a dimensionless quantity that indicates the number of particles a solute dissociates or associates into when dissolved. It is crucial in colligative property calculations, as it adjusts the expected effect on properties like boiling point elevation based on the actual number of particles in the solution.

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