Water is entering a storage tank at a temperature T0 and flow rate Q0 and leaving at a flow rate Q and temperature T. There are negligible heat losses in the tank. The area of cross-section of the tank is A0. The model that describes the dynamic variation of temperature of water in the tank with time is given as________________?
Correct answer: A. Q0(T0 - T) = Ac . h (dT/dt)
- A. Q0(T0 - T) = Ac . h (dT/dt)
- B. Q0T0 - QT = Ac . h (dT/dt)
- C. Q(T0 - T) = Ac . h (dT/dt)
- D. Q(T0 - T) = Ac . (dTH/dt)
Explanation
For a perfectly mixed tank, the material balance removes the level-change term from the energy balance, leaving Ac h(dT/dt)=Q0(T0−T) after cancelling density and heat capacity. This is why the inlet flow and inlet-to-tank temperature difference appear in option a.
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