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Unformatted text preview: 2. The conservation of mass for a general system with one outflow stream is given by • − = m dt dM where M is the total mass in the system (in our case the tank) at a time t . The term m with a dot over it represents the rate at which mass leaves the system. a. Show that both sides of this equation have the same dimensions. b. If M represents the instantaneous mass of liquid in a cylindrical tank with diameter A T , simplify this equation so that only dt dh appears on the left hand side, where h is the height of liquid in the tank. Assume that the liquid has a constant density. Your equation should only have h , d h /d t , A T , and the volumetric flow rate, q , in it....
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- Fall '09