MaterialBalanceHandout

# - CEE 320 Material balances handout Environmental Engineering E“ Strategies for setting up material balances 1 Draw a diagram of the system 2

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Unformatted text preview: CEE 320 Material balances handout Environmental Engineering E“ _ Strategies for setting up material balances 1) Draw a diagram of the system. 2) Identify what material you are balancing! E. g. water, contaminant, particles. 3) Identify all inputs and outputs relative to the control volume (read page 89 in your textbook for a good description of control volumes). 4) Construct a simple “word equation” 5) Assign symbols to both known and unknown quantities. Designate units fOr each symbol and write them down explicitly, either on the diagram or nearby. 6) Translate the word equation into a mathematical expression using symbols from step 5 Some symbols commonly used to set up mathematical equations (note that we will add to this list as the semester goes on) m Symbol V Quantity Units H . . volume mass Q I Volumetric or sometimes mass ﬂow rate ' or . tzme tzme V Volume volume . ss mole C Concentratlon ma or volume volume . . a E Em1ssron rate m SS time X 4 Mass or mole fraction mass or male » - mass mole . a F Mass flow rate or generlc flow rate m SS time ‘ Typical structure: CONTROL VOLUME Inputs Could be part or all of a lake, Out uts ‘ tank, river, bacterium, ﬁsh, W human body, etc! M W assume W3 s 7 l——1 “‘0‘” UP fﬁibshﬁe Mass ‘0? subsi-amu mas S oC Subd‘nn amour/HA a V\ | ‘— emwnj COVHVO' (Loni/cl Volt/L e :Pem - l Q — 2 . V0 “M W voiwm fer (Al/\i'l' ’h‘mﬂ uni-k lime “mat 41M? 7 L__‘_‘l Note that we will be using increasingly complex versions of this equation as the semester goes on. See the course website for some more examples! CEE 320 Material balances handout Environmental Engineering Example: Solvent emission from a paint booth cowl“) l U mum e y exhau S‘l’ 4 -~ ‘ + sols/5.41 gag/+0 m V solvent recov mizwk I soudsmoe 9'3 How much mass of solvent is emitted to the atmosphere each day from the paint booth if: 1) 500 L of paint/solvent mixture is sprayed per day, which is 90% solvent (10% paint solids) and has a density of 1.2 kg/L 2) The solvent condenser recovers 500 L of solvent per day which has a density of 0.8 kg/L [Re—41mm) s §+evv\+o etm to Assmmy'b‘ons m solvent .nxms'r, F; K \ Poi/“(x ﬂ ,1va somew} ’ pa No wemx call iii-was F. \ No' emu/«mu A 9 RF] W COMYD‘ VOMMQ __ mass 0? solve vs+ Lithuast _ N Fe ['3 dmf PW." — 1.1 Kg mm /L. PK [=1 Wd PM = ass K53 some/L. dag Perform material balance on solvent: 0 realm-Ange Word equation(s): @an = ﬂows in — ﬂows out -———> ﬂows in = ﬂows out Expand: O 7— FL " Fg- FR —-> FL, 3 Fe+ Pg - voluwve Mix cansH-lﬁ D e FL — ( doq olm‘x /° so“, V‘ 3 Fe, = WW3 we wawt ’ \IOltAwu, 0L goblet/Vi ream/WA) [ WSW“! ha r W ‘ { M15 solvent 00L. SOIVQK+ 0‘? 50“ (SDOL m\x>)< LLKgmx>‘{‘QO 1> :E+(5 I YLSNU &‘k\/ L. Mix [00 R>ar|\$ Mix 0159’ OF SON-Q wi— “Fe = 5% Kg/A —— LtOO K3/4 => at‘wzaﬂ) ...
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## This note was uploaded on 05/04/2010 for the course CEE 320 taught by Professor Mcmahon during the Spring '10 term at Wisconsin.

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- CEE 320 Material balances handout Environmental Engineering E“ Strategies for setting up material balances 1 Draw a diagram of the system 2

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