Question: a P3.7.15** Develop the model equations for a hot-water heater. Consider that the Figure P3.7.14 Schematic of a hot-water heater is well mixed and has

 a P3.7.15** Develop the model equations for a hot-water heater. Consider

a P3.7.15** Develop the model equations for a hot-water heater. Consider that the Figure P3.7.14 Schematic of a hot-water heater is well mixed and has a water holdup of 30 gallons. Assume that initially the water temperature is 120F. At time equal to zero, hot water is withdrawn compressed air tank with an inlet and outlet flow. at rate of 5 gallons per minute and 5 gallons per minute of cold water at 60F are simultaneously added. Assume that the heat addition rate to the hot water heater is constant at 6x10 BTU/h and is applied at the instant the hot water is removed from the tank. For this case, neglect actuator and sensor dynamics. Also, determine how long it takes for the hot-water temperature to drop to less than 90F. Develop an analytical solution for this

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