Question

A cylindrical tank of cross-sectional area equal to A has one inlet where water is flowing...

A cylindrical tank of cross-sectional area equal to A has one inlet where water is flowing in, and no exits. The mass flow rate going into the tank is represented with. The height ?of the water inside the tank is represented by L, which is increasing with time.

a. Use the general conservation of mass equation to show that the following equation is true for this problem (assuming that density varies with time):1??/???+1??/???=?/???. Include all steps.

b. For the same problem, but assuming that the density of the water is constant with time, solve for the time required, in hours, for L to increase by 3 m. Use = 1 kg/s, ?= 1 kg/s and A = 2 m^2. Assume that the temperature and pressure of the water are 25oC and 100 kPa, respectively. T and P remain constant.

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