Benzene and toluene form an ideal solution. The vapour pressures of benzene and toluene are 75 mm an — Solutions 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
In the vapour phase, Dalton's law and Raoult's law give: Y_A = P_A / P_total = (P_A^o * X_A) / P_total. We can write: 1 / P_total = Y_benzene / P_benzene^o + Y_toluene / P_toluene^o. Substituting the given values: 1 / P_total = 0.75 / 75 + 0.25 / 25 = 0.01 + 0.01 = 0.02. Therefore, P_total = 1 / 0.02 = 50 mm.
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