A heat exchanger is used to condense steam coming off the turbine of a steam power plant by cold water from a nearby lake. The cold water (c_p = 4.18 kJ/kg · K) enters the condenser at 16°C at a rate of 20 kg/s and leaves at 25°C, while the steam condenses at 45°C. The condenser is not insulated, and it is estimated that heat at a rate of 8 kW is lost from the condenser to the surrounding air. The rate at which the steam condenses is
(a) 0.282 kg/s

(b) 0.290 kg/s

(c) 0.305 kg/s

(d) 0.314 kg/s

(e) 0.318 kg/s