An ideal liquid mixture of benzene and toluene (50% by volume each) is used in a plant at 27°C and 1 atm. Determine (a) the mixture TLV, (b) the evaporation rate per unit area for this mixture, and (c) the ventilation rate required to keep the concentration below the TLV if the liquid is contained in a drum with a bung diameter of 5.1 cm. Assume the ventilation quality within the vicinity is average.

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a). The TLV of the mixture would be as follows:

[tex]0.643[/tex] ppm

b). The rate of evaporation would be as follows:

[tex]0.016 lbm/feet^2-min[/tex]

c). The ventilation rate would be as follows:

[tex]21097.096 ft^3/min[/tex]

a). Given that,

TLV values of the mixture(Benzene) [tex]= 0.5 ppm[/tex]

Toluene [tex]= 20 ppm[/tex]

so,

The equation becomes =

[tex](TLV - TWA)_{mix}[/tex] [tex]=[/tex] ∑[tex]ci[/tex]/∑[tex]ci/TLvi[/tex]     ...(i)

Pressure of Benzene [tex]= 0.5[/tex] × [tex]94.44[/tex]

[tex]= 47.22 mm Hg[/tex]

Pressure of Toluene [tex]= 0.5[/tex] × [tex]27.9 mm Hg[/tex]

Total pressure [tex]= 760 mm Hg[/tex]

Now,

[tex]C_{benzene} = (47.22 * 10^6)/760 = 62131.579 ppm[/tex]

[tex]C_{toluene} = 18355.263 ppm[/tex]

TLV = [tex]0.643 ppm[/tex]

b). The rate of evaporation can be determined via

[tex]Q_{m}/A[/tex]

For benzene, we get [tex]= 0.012 lbm/ft^2 - min[/tex]

for Toluene, we get = [tex]= 0.004 lbm/ft^2 - min[/tex]

Total rate of evaporation

[tex]= 0.012 + 0.012 lbm/ft^2 - min\\= 0.016 lbm/ft^2 - min[/tex]

Thus, the above answers are correct.

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