A $0\mathrm{.}330-m^3$ rigid tank is filled with saturated liquid water at $200C.$ A valve at the bottom of the tank is opened, and liquid is withdrawn from the tank. Heat is transferred to the water such that the temperature in the tank remains constant. Determine the amount of heat that must be transferred by the time one$-$half of the total mass has been withdrawn. The properties of water are $v_1=0\mathrm{.}001157\frac{m^3}{k}g,u_1=850\mathrm{.}46k\frac{J}{k}g,$ and $h_e=852\mathrm{.}26k\frac{J}{k}g.$ Use data from the tables. $($Round the final answer to three decimal places.$)$

The amount of heat is $$ kJ$.$