Heptane and octane form ideal solution. At 373 K, the vapour pressures of the pure liquids are 106 k — Solutions and Colligative Properties Chemistry Question
Question
Heptane and octane form ideal solution. At 373 K, the vapour pressures of the pure liquids are 106 kPa and 46 kPa, respectively. What will be the vapour pressure, in bar, of a mixture of 30.0 g of heptane and 34.2 g of octane?
💡 Solution & Explanation
Molar mass of heptane ($\text{C}_7\text{H}_{16}$) = 100 g/mol; moles = $30.0 / 100 = 0.3 \text{ mol}$. Molar mass of octane ($\text{C}_8\text{H}_{18}$) = 114 g/mol; moles = $34.2 / 114 = 0.3 \text{ mol}$. Mole fractions: $X_H = 0.5$, $X_O = 0.5$. Total pressure $P = 106(0.5) + 46(0.5) = 53 + 23 = 76 \text{ kPa}$. Converting to bar: $76 \text{ kPa} = 0.76 \text{ bar}$ ($1 \text{ bar} = 100 \text{ kPa}$). Therefore, correct answer is D.