Pentane (C5 H12) and hexane (C6 H14) form an ideal solution. At 25^∘ C the vapor pressures of pe

step 1 To solve for the vapor pressure of the solution, we're going to solve for the vapor pressure of

Pentane (C5 H12) and hexane (C6 H14) form an ideal solution....

Pentane $\left(\mathrm{C}_{5} \mathrm{H}_{12}\right)$ and hexane $\left(\mathrm{C}_{6} \mathrm{H}_{14}\right)$ form an ideal solution. At $25^{\circ} \mathrm{C}$ the vapor pressures of pentane and hexane are 511 and $150 .$ torr, respectively. A solution is prepared by mixing $25 \mathrm{~mL}$ pentane (density, $0.63 \mathrm{~g} / \mathrm{mL}$ ) with $45 \mathrm{~mL}$ hexane (density, $0.66 \mathrm{~g} / \mathrm{mL}$ ). a. What is the vapor pressure of the resulting solution? b. What is the composition by mole fraction of pentane in the vapor that is in equilibrium with this solution?

Pentane $\left(\mathrm{C}_{5} \mathrm{H}_{12}\right)$ and hexane $\left(\mathrm{C}_{6} \mathrm{H}_{14}\right)$ form an ideal solution. At $25^{\circ} \mathrm{C}$ the vapor pressures of pentane and hexane are 511 and $150 .$ torr, respectively. A solution is prepared by mixing $25 \mathrm{~mL}$ pentane (density, $0.63 \mathrm{~g} / \mathrm{mL}$ ) with $45 \mathrm{~mL}$ hexane (density, $0.66 \mathrm{~g} / \mathrm{mL}$ ).
a. What is the vapor pressure of the resulting solution?
b. What is the composition by mole fraction of pentane in the vapor that is in equilibrium with this solution?

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Key Concepts

Mole Fraction

Mole fraction is a measure of concentration defined as the ratio of the number of moles of a particular component to the total number of moles in the mixture, and is essential for applying Raoult's law in solution calculations.

Vapor Pressure

Vapor pressure is the pressure exerted by a vapor in equilibrium with its liquid or solid form at a given temperature, reflecting the tendency of molecules to escape from the condensed phase.

Phase Equilibrium

Phase equilibrium refers to the state where different phases, such as liquid and vapor, coexist without net mass transfer between them, and it is a fundamental concept in understanding the behavior of mixtures under given temperature and pressure conditions.

Ideal Solution

An ideal solution is one in which the interactions between the molecules of different components are similar to those between molecules of the same component, so that the mixture follows Raoult's law and deviations from ideality are negligible.

Raoult's Law

Raoult's law provides a way to estimate the vapor pressure of a component in an ideal solution, stating that the partial vapor pressure is the product of the mole fraction of that component in the liquid phase and its pure-component vapor pressure.

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