In oil and gas application, a thin$-$walled double pipe parallel flow heat exchanger is used to heat a chemical whose specific heat is $1800$ J$/$kg$.$C with hot water $($cp$=4180$ J$/$kg$.$C$).$ The chemical enters at $20$C at a rate of $2$ kg$/$s$.$ The heat transfer surface area of the heat exchanger is $7$m$2$and the overall heat transfer coefficient is $1200$ W$/$m$2.$C$.$ Determine the outlet temperatures of the chemical and the water