CHEG112_2008_HW01_Solutions

CHEG112_2008_HW01_Solutions - CHEG 112: Homework Set 1...

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Page 1 of 7 CHEG 112: Homework Set 1 SOLUTIONS Due Tuesday 26 February 2008 (at the beginning of class) 1). (30 points) A storage tank 10,000 Liters in size is initially empty. The valve connecting the tank to a water reservoir is opened to start filling the tank with water. The volumetric flow rate (Liters/min) of water increases with time (t) and can be expressed as: q in 200 10t 2 + a). Make a sketch and define the control volume. b). Write a material balance for water. The control volume is shown by the dotted line. Accumulation In Out - Production + Consumption - There is no outlet, and no water is produced or consumed. Thus, Accumulation In (Note that this is a transient problem [i.e. not steady-state], which means the accumulation term is not zero). The accumulation of water is simply the rate of change of the mass of water. Thus, t m w ( ) d d m w.in  where the subscript w refers to water, and the arrow indicates a mass flow rate. t m w ( ) d d t ρ w V w ( ) d d and m w.in  ρ w q in therefore t ρ w V w ( ) d d ρ w q in
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CHEG 112: HW 1 Solutions Page 2 of 7 c). Compute the time needed to fill the tank. First, the equation should be simplified. The density of water is assumed constant for
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This note was uploaded on 04/03/2008 for the course CHEG 112 taught by Professor Willis,chen during the Spring '08 term at University of Delaware.

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CHEG112_2008_HW01_Solutions - CHEG 112: Homework Set 1...

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