Solutions and Colligative PropertiesmediumMCQ SINGLE

Benzene and toluene form an ideal solution. The vapour pressures of benzene and toluene are 75 mm anSolutions and Colligative Properties Chemistry Question

Question

Benzene and toluene form an ideal solution. The vapour pressures of benzene and toluene are 75 mm and 25 mm, respectively, at 20°C. If the mole fractions of benzene and toluene in vapour are 0.75 and 0.25, respectively, the vapour pressure of the ideal solution is

Answer: B

💡 Solution & Explanation

$Y_B = P_B / P_T \implies 0.75 = (75 \cdot X_B) / P_{total}$. Also $Y_T = P_T / P_{total} \implies 0.25 = (25 \cdot X_T) / P_{total}$. Since $X_B + X_T = 1 \implies \frac{0.75 P_{total}}{75} + \frac{0.25 P_{total}}{25} = 1 \implies P_{total} (0.01 + 0.01) = 1 \implies P_{total} (0.02) = 1 \implies P_{total} = 50$ mm. Therefore, correct answer is B.

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