Light oil with $20C$ inlet temperature flows at a rate of $500k\frac{g}{m}in$ through $5cm$ inside diameter pipe which is enclosed by a jacket containing condensing steam at $150C.$ if the pipe is $10cm$ long, find the outlet temperature of the oil. Take the following properties of oil at mean film temperature: $v=3\mathrm{.}6{10}^{-6}\frac{m^2}{sec\text{;}k}=0\mathrm{.}12\frac{W}{m}K$;$=880k\frac{g}{m^3}$;$c_p=2100\frac{J}{k}gK$