At a given temperature the vapor pressures of benzene and toluene are 183 mm Hg and 59.2 mm Hg,respectively.Calculate the total vapor pressure over a solution of benzene and toluene with X_benzene = 0.600. A)110 mm Hg B)121 mm Hg C)133 mm Hg D)242 mm Hg

Question

Quizplus · Accepted Answer

To calculate the total vapor pressure, we use Raoult's law:

P_total = XS1U1B1benzeneS1U1B0 P1 + XS1U1B0tolueneS1U1B0 P2

where P1 and P2 are the vapor pressures of pure benzene and toluene, respectively.

Substituting the given values, we get:

P_total = 0.600 x 183 + 0.400 x 59.2
P_total = 109.8 + 23.68
P_total = 133.48 ≈ 133 mm Hg

Therefore, the best choice is C, with a total vapor pressure of 133 mm Hg.

At a Given Temperature the Vapor Pressures of Benzene and Toluene