$3\mathrm{.}2.$ A steam condensers processes $3500$ kg of steam per hour at a pressure of $580$ kPa with a dryness of $0\mathrm{.}91.$ The temperature of the condensate is found to be $44\mathrm{.}8C.$ The cooling water used to condense the steam enters the condenser at a temperature of $25C$ and leaves at a temperature of $35C.$ Take the specific heat capacity of water as $4\mathrm{.}2k\frac{J}{k}gK$ and calculate the mass of cooling water is needed per hour.