# 17(8)up TupUse this result in Eq. 4 to produce the second term in the Taylor series expansion for f(b) about f(a)dnup TupRepeat this entire procedure to extend the representation for f(b) to obtain the third term in the Taylorseries expansion and thus illustrate how one obtains a representation for f(b) that involves only thefunction and its derivatives evaluated at x=a . Keep in mind that the only mathematical tools used in thisderivation are the definition of the definite integral and the rule for differentiating a product'.5-32. A gas mixture leaves a solvent recovery unit as illustrated in Figure 5.32. The partial pressure ofbenzene in this stream is 80 mm Hg and the total pressure is 750 mm Hg. The volumetric analysis of thegas, on a benzene-free basis, is 15% CO,, 4% O, and the remainder is nitrogen. This gas is compressed2to 5 atm and cooled to 100 F. Calculate the percentage of benzene condensed in the process. Assume thatCO2, 02 and N2 are insolub le in benzene, thus the liquid phase is pure benzene.9. Stein, S.K. and Barcellos, A. 1992, Calculus and Analytic Geometry, Chapters 3 and 5, McGraw-Hill, Inc., NewYork. compressor andheat exchanger160Chapter 5gas in equilibrium withliquid benzene at 100 Fcrwovig>4solvent recoveryunitcondensedbenzeneFigure 5.32. Recovery-condenser systemby Eq. 11 in Example 5.8.

Question
Asked Nov 11, 2019
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Step 1

Vapor pressure of benzene in gas mixture before compression is given as 80 mmHg.

Total pressure of the gas mixture before compression is given as 750 mmHg.

Mole fraction of benzene in the gas mixture before compression on benzene-free basis will be:

Step 2

This can also be written as:

Step 3

When this gas is cooled and compressed  to 100  ̊F and 5 atm (3800 mmHg) , liquid...

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