A surface condenser is required to deal with \(20,000 \mathrm{~kg}\) of steam per hour. The air leakage is estimated at \(0.3 \mathrm{~kg}\) per \(1000 \mathrm{~kg}\) of steam. The steam enters the condenser dry saturated of \(38^{\circ} \mathrm{C}\). The condensate is extracted at the lowest point of the condenser at a temperature of \(36^{\circ} \mathrm{C}\). The condensate loss is made up with water at \(7^{\circ} \mathrm{C}\). It is required to find the saving in condensate and the saving in heat supplied in the boiler, by fitting a separate air extracting pump which draws the air over an air cooler. Assume that the air leaves the cooler at \(27^{\circ} \mathrm{C}\). The pressure in the condenser can be assumed to remain constant.