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 Xbenzene = 0.580.

Respuesta :

Answer: The total vapor pressure of the solution is 81.3 mmHg

Explanation:

To calculate the total pressure, we use the equation given by Dalton and Raoults, which is:

[tex]p_T=(p_A\times \chi_A)+(p_B\times \chi_B)[/tex]

where,

[tex]p_T[/tex] = total vapor pressure

We are given:

Mole fraction of benzene = 0.580

Mole fraction of toluene = (1 - 0.580) = 0.420     (Total mole fraction is always equation to 1)

Vapor pressure of benzene = 183 mmHg

Vapor pressure of toluene = 59.2 mmHg

Putting values in above equation, we get:

[tex]p_T=(183\times 0.580)+(59.2\times 0.420)\\\\p_T=81.3mmHg[/tex]

Hence, the total vapor pressure of the solution is 81.3 mmHg

The total vapor pressure of the given solution of toluene and benzene has been 131.004 mm Hg.

From Dalton's law of vapor pressure:

Total Vapor pressure = mole fraction of A [tex]\times[/tex] Vapor pressure of a + mole fraction of B [tex]\times[/tex] Vapor pressure of B.

Given, the mole fraction of Benzene = 0.580.

The sum of mole fractions in a solution has been 1.

1 = mole fraction of bemzene + mole fraction of toluene

1 = 0.580 + mole fraction of toluene

Mole fraction of toluene = 1 - 0.580

Mole fraction of toluene = 0.420

Total pressure = (0.580 [tex]\times[/tex] 183) + (0.420 [tex]\times[/tex] 59.2) mm Hg

Total pressure = 106.14 + 24.864 mm Hg

Total vapor pressure = 131.004 mm Hg.

The total vapor pressure of the given solution of toluene and benzene has been 131.004 mm Hg.

For more information about the vapor pressure, refer to the link:

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