Solutions and Colligative PropertiesmediumMCQ SINGLE

Heptane and octane form ideal solution. At 373 K, the vapour pressures of the pure liquids are 106 kSolutions 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?

Answer: D

💡 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.

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