(a) Determine the capacitance of a spherical tank of radius R, shown in Figure P7.38. (b) Obtain a model of the pressure at the bottom of the tank, given the mass flow rate qmi . Figure P7.38 Obtain...

(a) Determine the capacitance of a spherical tank of radius R, shown in Figure P7.38. (b) Obtain a model of the pressure at the bottom of the tank, given the mass flow rate qmi .

Figure P7.38

Obtain the dynamic model of the liquid height h in a spherical tank of radius R, shown in Figure P7.39. The mass inflow rate through the top opening is q_mi
and the orifice resistance is R_o.