Water at temperature ${40}^{0}C$  flows from a tap T into a heated container C The container has a heating element (a resistor  R) which is generating heat at the rate of P,  that may be varied. The rate of water in flow from tap is  $m=\frac{1000}{7}l/\min$. 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 minimum power $P\left(inMW\right)$  that must be generated as heat in the steady state in resistor R 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). For water, specific heat $c=4.2kJk{g}^{-1},K^{-1}$  latent heat of vaporization $L_{VAP}=2.268MJk{g}^{-1},$ density  $\rho =1000kg{m}^{-3}.$