Given an ideal flow pipe with a length of $5$ m and a diameter of $0\mathrm{.}035$ m$,$ surrounded by a heating jacket, through which a liquid flows at $0\mathrm{.}7$ kg$/$s$.$ The specific heat capacity of the liquid is $4,120$ J$/($kg K$).$ The specific heat capacity of the fluid is $4,120$ J$/($kg K$)$ and is assumed to be constant. The specific heat exchange area is $210$ m$2/$m$3$ and the heat transfer coefficient is $4,020$ W$/($m$2$ K$).$

What is the average temperature of the heat transfer medium if the inlet and outlet temperatures are to be $25\backslash$deg C and $55\backslash$deg C$?$

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