Question: Explain the origin of Equation (e) in Example 5.7. What information in the problem statement was used in writing this relationship? What does rconsumption, butene

Explain the origin of Equation (e) in Example 5.7. What information in the problem statement was used in writing this relationship? What does rconsumption, butene represent physically?

EXAMPLE 5.7 (continued) Ethylene balance: Iform..eth. = neth. e.rich + neth.b.rich or * form..eth. =

EXAMPLE 5.7 (continued) Ethylene balance: form..eth. = neth.,e.rich + neth.b.rich or * form..eth. = Yeth.,e.richnerich + Ceth.b.richVb.rich (b) From the balances (2 equations), we identify five unknowns: Ybu..e.rich, Chu ,b.rich, Icons. but.. form.,eth.. Ceth. b.rich. Therefore, we need three more equations. Mole fractions: Yeth.e.rich + Vbut.,e.rich = 1.0 Stoichiometry: Conversion: From Equation (e): From Equation (d): cons..but = 0.84nbut..feed 0.84 mbut..feed (MW) but. We now have five equations and five unknowns and can solve those equations: From Equation (c): From Equation (b): From Equation (a): 11 Y but..e.rich == 865 lbm/hr 56 lbm/lbmol rform..eth. 2 Icons.,but. cons..but.= = Chut..brich = = 1.0 - Yah.,e.rich = 1.0 -0.92 = 0.08 (0.84) (865 lbm/hr) 56lbm/lbmol rform.,eth. = 2(rcons.but.) = 26.01bmol/hr form..eth. - Yeth..e.richne.rich Vb.rich Ceth.b.rich = = = 26.0lbmol/hr-0.92(25.5 lbmol/hr) 240 ft/hr mbut..feed (MW) but. = Ibmol hr 13. -0.0106 lbmol/ft Ybut.,e.richhe.rich - I'cons..but. Vb.rich -0.08(25.5 lbmol/hr) - 13.0 lbmol/hr 240 ft/hr = 0.0017 lbmol/ft (c) (d) (e)

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