27._Mar-28 - CUM-Pnuam Pram M-kvoo 4TWW_>§VLGIJ/75W...

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Unformatted text preview: 3/26/2008 CUM-Pnuam Pram: M-k—voo, 4TWW{’ '_’>§’VLGIJ/75W €520m~10\£L //. / (Q’VEQ5-) {mum—l pigfl.) (fighnolfidL) Wig LL51" (PM) Mass Balance on a Water Storage Tank A 12.5-m3 tank is being filled with water at a rate of 0.050 m3ls. At a moment when the tank contains 1.20 m3 of water, a bottom leak develops and gets progressively worse with time. The rate of leakage can be approximated as 0.0025: (of/s), where 115) is the time from the moment the leak begins. Water 0.0.50 m3i's I 1).:an = I=0, V: 1.2 m3 (0.002 52*) mars 1.. Write a mass balance on the tank and use it to obtain an expression for dedt, where V is the volume of water in the tank at any time. Provide an initial condition for the differential equation. 2. Solve the balance equation to obtain an expression for V(r) and draw a plot of V versus r. 2 0,050 -— 9.099630 =sz 0,055 _ a,oer-+> Ai~ V33 = tweoré —» 0.001251: CD 000W wa 5‘ TWO! ...
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