En$.$ Karim recently bought a heat exchanger for his metal factory. The heat exchanger is a cross$-$flow type which has cross section size of $1$ m X $1$ m$.$ En$.$ Karim assigned you to calculate the effectiveness of the heat exchanger. As an engineer, you decided to do the analysis based on section by section. One section of the heat exchanger duct consists $3$ cm diameter of $80$ tubes. Cold water $($cp $=4180$ J$/$kg$.$K$)$ enters the tube at $18$oC$.$ The average velocity of the cold water is $3$ m$/$s$.$ Meanwhile, hot air $($cp $=1010$ J$/$kg$.$K$)$ enters the section at $130$oC and $105$ kPa. The velocity of the hot air is $12$ m$/$s and air constant, R is $0\mathrm{.}287$ kJ$/$kg$.$K$.$ If the overall heat transfer coefficient is $130$ W$/$m$2.$K$,$ determine i$.$ the mass flow rates of both cold water and hot air, ii$.$ the rate of heat transfer, iii. the effectiveness of the heat exchanger $($NTU method$),$ iv$.$ the actual rate of heat transfer, and v$.$ the outlet temperatures of both cold water and hot air.