A solution has a mole ratio of pentane to hexane. The vapour pressures of the pure hydrocarbons at a — Solutions and Colligative Properties Chemistry Question
Question
A solution has a $1 : 4$ mole ratio of pentane to hexane. The vapour pressures of the pure hydrocarbons at $20^\circ\text{C}$ are $440\text{ mm Hg}$ for pentane and $120\text{ mm Hg}$ for hexane. What is the mole fraction of pentane in the vapour phase?
Answer: B
💡 Solution & Explanation
Mole fractions in liquid: $X_P = 1/5$, $X_H = 4/5$. Partial pressures: $p_P = 440 \times (1/5) = 88\text{ mm Hg}$; $p_H = 120 \times (4/5) = 96\text{ mm Hg}$. Total pressure $P = 88 + 96 = 184\text{ mm Hg}$. Mole fraction of pentane in vapour $Y_P = p_P / P = 88 / 184 \approx 0.478$.
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