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AP Chemistry
3.7 Solutions and Mixtures
3.4 Ideal Gas Law
3.1 Intermolecular and Interparticle Forces
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Equilibrium liquid composition of the \(\text{C}_6\text{H}_{14}\)-\(\text{C}_7\text{H}_{16}\) mixture
Equilibrium liquid composition of the \(\text{C}_6\text{H}_{14}\)-\(\text{C}_7\text{H}_{16}\) mixture
A student studies the recovery of hexane and heptane from an ideal liquid mixture. At \(40^{\circ}\text{C}\), the pure-component vapor pressures are \(P_{\text{C}_6\text{H}_{14}}^{\circ}=36\ \text{kPa}\) and \(P_{\text{C}_7\text{H}_{16}}^{\circ}=12\ \text{kPa}\). The particulate diagram represents the composition of the liquid phase at equilibrium. For each component \(i\), the partial pressure and vapor-phase mole fraction are related to the liquid-phase mole fraction by

\[ P_i=x_iP_i^{\circ}\qquad\text{and}\qquad y_i=\dfrac{P_i}{P_{\text{total}}} \]

The total number of symbols in each answer diagram is arbitrary; only the ratio of the two types of symbols represents vapor composition. Which diagram best represents the mole fractions of hexane and heptane in the equilibrium vapor phase?

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