w2 wi 94 1 m h w3
The liquid storage tank shown in Fig has two inlet streams with mass flow rates w1 and w2 and an exit stream withflow rate w3. The cylindrical tank is 2.5 m tall and 2 m in diam-eter. The liquid has a density of 800 kg/m. Normal operating procedure is to fill the tank until the liquid level reaches a nom-inal value of 1.75 m using constant flow rates:w1=120 kg/min, w2=100 kg/min, and w3=200 kg/min. At that point, inlet low rate w1 is adjusted so that the level remains constant.However, on this particular day, corrosion of the tank has opened up a hole in the wall at a height of 1 m, producing a leak whose volumetric flow rate q4(m3/min) can be approximated by q4=0.025√h−1 where h is height in meters.(a)If the tank was initially empty, how long did it take for theliquid level to reach the corrosion point?(b)If mass flow rates w1,w2,and w3 are kept constant indefi-nitely, will the tank eventually overflow? Justify your answer.
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