14._Feb_18_-_Exam-1_review - Note Title ‘ 1(20 points The...

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Unformatted text preview: Note Title 2/18/2008‘ 1 (20 points]. The ideal gas equation of state relates absolute pressure P (Po), gas volume V (m3), number of moles n (mol), and absolute temperature T ( : PV= 11 RT where R = 8.314 meol K ,=. Convert the equation to one relating P (psig) V (fig) 11 (Eb—mole) and T ("1*"). Note that- + PMQTMD P<Pm> - V (m‘) ~— Qa. “4—1 (h m1e>UU<>> 4/ 0: P‘s it a are yr (9 FWD: (P (F513) + ’4' 54") LW meat Fm 3 {99 VCMAI) : U CR3) <35L-31J1F-E1> L'lz‘l' =_ (9,3018% 2 (30 points). A stream of humid air containing 1. 0 mole- % water (vapor) and the balance dry n - humidified to a water content of 10 mole- '34:. For this purpose liquid water (density— — fed throu- I a flowmeter to a humidifier and evaporated into W wmeter reading a 5D. The flowmeter calibration equation is 111(11er3 N3) = 1.625 >< R +1561 . b“ (a) Draw the flowchart for this process and label all known and unknown variables. (1}) Do the degree-of—freedom analysis. Write down the mlknowns and the independent equationsfspecifications to clarify your DOF calculation. 44,,“me (mum/0:40,) -_21w(mwo—-2spa?¥_ = D 190,17 3mlaumns LAUHL, Vb) , 3‘qu -— (“W/Law], L: 0 {90? (c) Estimate the molar flow rate (moler'h) of the humidified (outlet) air. dqmrbmlémvc [email protected]: 0,4069 M54, 1L i'Di’d [min/wan @4 0’- $69 .— flaqu/é"? ”ML/['1 fl! __ g386°n~=1¢/A 3 (50 points). The waster water from a metal finishing plant contains 5.15 wt% Cr. The waster water stream is fed to a treatmult unit that removes 95% of the chromium in the feed and recycles it to the plant. The residual liquid stream leaving the treatment unit is sent to a waste lagoon. The treatment unit has a maximum capacity of 45m kg wastewaterfh. If the wastewater leaves the finishing plant at a rate higher than the maximum capacity of the treatment unit, the excess (anything above 4500 kgfh) bypasses the unit and combines with the residual liquid living the unit1 and the combined stream goes to the waste lagoon. (a) Complete the flow chart by labeling all known and unknown variables. @_ - Cn’h} [no water] ' ’ of Cr In feed to unit Wastewater To wa telagoon Cr l-Olt M/ (b) Without assuming a basis of calculation (i.e., mpmgmfi are not specified}, do the degree-of- “w fi'eedom analysis for the following units. In each DOF calculation, write the unknowns and the independent equationsr' specifications to justify your calculation. (i) bypass point 6 MW Cm,,m«,me) (if Wm. -' \ {facile ’— lPOP ill-5"" $40W,floy.im‘-_&—,_QLJ=. (ii) treatmentunit 077‘. >45”, ‘HNM whfsqgw’ (4 Imlmwnd ’— Shmm\ lffiecfieg [DVF m‘ ._. ”-459 ”(‘2' W4! mflfyf aS' ' (iii) mixing point / ’? Cf “Cad +41”, w-t 5; (M4 5 WW“ (”l’S. "L's-J WMane) , 9- 54W 2 3 Wit— (iv) overall system AWVU (‘(;“H“l"'4.)';"‘é,9§(,> exhale/moo = ”100‘:- (e) Wastewater leaves the finishing plant at a rate ml = fimflkgr’h. Calculate the flaw rate ef liquid tn the waste lagoon, #16 (kgfh), and the mass flactien of Cr in this liquid, 1.5 (kg Crlkg _ liquid). e = ’V “k 2 222° 5;? sf , m4 . 4m: x 0,m$‘_IS‘ .1 A ’— T‘ ’L,’_' Mn: Lm‘l_(\/V\4 2 427(5)“ ”k v , I 4. .2. a v“; .2. l A A 0(5 «,0 003.303 (3; fiMLeLJ‘Q. W W Allin . M (/5!— W IVE MI I _____ ’ / , a ': 4‘ 15‘7"an , ...
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