A hydrocarbon oil of density $950$ kg$/$m$3$ and specific heat capacity $2\mathrm{.}5$ kJ$/$kg$-$K is cooled in a heat exchanger from $363$ to $313$ K by water flowing counter currently. The temperature of the water rises from $293$ to $323$ K$.$ If the flow rate of the hydrocarbon is $0\mathrm{.}56$ kg$/$s$,$ what is the new water outlet temperature?

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