Water at temperature flows from a tap into a heated container . The container has a heating element (a resistor ) which is generating heat at the rate of , that may be varied. The rate of water in flow from tap is .
The heat generated is sufficient so that the water in the container is boiling and getting converted into steam at a steady rate. What is the power (in ) that must be generated as heat in the steady state in resistor so that the amount of liquid water in the container neither increases nor decreases with time ?
(Neglect other losses of heat, such as conduction from the container to the air and heat capacity of container)
Note - For water, specific heat , latent heat of vaporization , density .