Hot water at 10kPa and 300°C flows into a condenser at a rate of 1. The water is cooled, exiting the condenser as saturated liquid at 10kPa. The cooling is done by lake water at 20°C and atmospheric pressure, which returns to the lake at 30°C. For a perfectly insulated condenser, determine the required mass flow rate of cooling water (lake water).
Note: for low pressure compressed fluids, meaning those at lower pressures than listed in the compressed water tables, take ℎ=ℎ from the saturated water tables at the temperature of interest.