prob+set+_13.+09 - Chemical Engineering 140 Problem Set #13...

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Chemical Engineering 140 November 18, 2009 Problem Set #13 60 . from Midterm 3, 2004 A liquid mixture initially containing 60.0 moles of n-pentane and 40.0 moles of n-heptane and initially at 53 o C is partially vaporized at P = 1 atm in a batch still, as illustrated in Figure 2. A constant heating rate is applied to vaporize the liquid at a rate v n (mol/s). The vapor product and remaining liquid are always in equilibrium with each other. The relationship between the liquid and vapor mole fractions of pentane, x and y , respectively, is given by b x ax y + = 2 . Assume that a and b are constant across the practical range of interest. N (the total moles of liquid in the still), x, y , and v n (the vaporization rate) all change with time. (a) Derive the relationship between a and b in the vapor-liquid equilibrium expression. From this result, find the expression for the K factor of pentane only in terms of the parameter a (and the independent variable x ). (b) Write the differential equation describing the change of total moles in the still over
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prob+set+_13.+09 - Chemical Engineering 140 Problem Set #13...

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