A rigid tank initially contains $1\mathrm{.}600$ kg saturated liquid water at $200\backslash$deg C$.$ At this state, $25$ percent of the volume is occupied by water and the rest by air. Now heat is supplied to the water until the tank contains saturated vapor only. The saturated liquid properties of water at $200\backslash$deg C are vf $=0\mathrm{.}001157$ m$3/$kg

and uf $=850\mathrm{.}46$ kJ$/$kg

$($Table A$-4).$

An illustration of a rectangular structure with information about the content, temperature, and so on$.$The rectangular structure mentions the following information. The structure contains water. The other information mentioned is as follows. The temperature is mentioned as $200$ degrees Celsius, and the mass is mentioned as m kilogram. A left arrow pointing inward on the top of the right wall of the structure is labeled Q$.$

Determine the internal energy change of the water. $($Round the final answer to three decimal places.$)$

The change in internal energy is

kJ$.$