A water condenser is to be designed to condense steam at $110$ oC using a cold water at $30$ oC with a flow rate of $0\mathrm{.}42$ kg$/$s$.$ The cold water leaves the condenser at $80$ oC$.$ The overall heat transfer coefficient is assumed to be $2049$ W m$-2$ K$-1.$ The water specific heat is assumed constant of $4\mathrm{.}18$ kJ kg$-1$ K$-1.$ Calculate the required contact area for the condenser. Provide the answer to three decimal places