Check significant figures throughout the calculation. It is easy to make a mista

Question

Check significant figures throughout the calculation. It is easy to make a mistake if you must transcribe the Antoine parameters. Make sure that you have the correct units for implementing the Antoine equation. A gas containing nitrogen, benzene, and toluene is in equilibrium with a liquid mixture of 50.0 mole% benzene-50.0 mole% toluene at 50.0 degree C and 10.0 atm. Estimate the gas-phase composition (mole fractions using Raoul's law). What is the gas-phase mole fraction of benzene? What is the gas-phase mole fraction of toluene? What is the gas-phase mole fraction of nitrogen?

Explanation / Answer

yAP= xAp*A(T)

p*benz(50°C) = 271.37 mm Hg (Antoine’s)

p*tol(50°C) = 92.15 mm Hg (Antoine’s)

ybenz= xbenzp*benz(50°C)/P

= (0.50)(271.37 mm Hg)/(7600 mm Hg)

= 0.018

ytol= xtolp*tol(50°C)/P

= (0.50)(92.15 mm Hg)/(7600 mm Hg)

= 0.00606

yN2= 1 – 0.018 – 0.00606 = 0.976

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