Water is heated while flowing through a pipe by steam condensing on the outside of the pipe.(a) Assuming a uniform overall heat transfer coefficient along the pipe, derive an expression for the water temperature as a function of distance from the entrance.(b) For an overall heat transfer coefficient of 570 W/(m2 K), based on the inside diameter of 5 cm, a steam temperature of 104?C, and water-flow rate of 0.063 kg/s, calculate the length required to raise the water temperature from 15.5 to 65.5?C.GIVENWater flowing through a pipe steam condensing on the outsideASSUMPTIONSA uniform overall heat transfercoefficient

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Condensing Steam T- 104° C to Water mw-0.063 kg/s Twh = 15.5° C