csnuary 25, 2018 olant has an efficiency of 33 percent with 20 percent waste A n
ID: 1572921 • Letter: C
Question
csnuary 25, 2018 olant has an efficiency of 33 percent with 20 percent waste A natural gas-fired electric power heat being released to the atmosphere as stack heat a cooling water drawn from a nearby river (used to cool and c 1. nd the other 80% taken sway in ondense down the hot steam e generator turbines). To eliminate heating the bodies of water surrounding the evaporation of the coolant water is what cools the steam; the water vapor power plant, the generated by this dissipated vaporization. evaporation is released to the atmosphere. Thus, the amount of heat will be proportional to the amount of water evaporated and the latent heat of nack heat 0% of wasse heat Power piant 33% sident lver Cocting sower Determine how many gallons per minute of cooling water (marked "makeup water" in the illustration) is required for every 1000 MW of electric power generated by this facility. The river water is 15°C and all of the cooling water evaporates at 15°C. [The fact that the efficiency is less than 100% means the electric power output to be computed here is less than the total amount of heat created by the combustion of the fuel source.]Explanation / Answer
total power input=1000 MW/0.33=3000 MW
waste power=3000 MW-1000 MW=2000 MW
power to be cooled through coolant system=0.8*2000=1600 MW
in 1 minute, energy to be released through coolant system=1600*60=96000 MJ
latent heat of vaporization at 15 degree celcius is given as 2460.19 kJ/kg.
then mass of water required=96000 MJ/(2460.19 kJ/kg)
=3.9021*10^4 kg
density of ater=1000 kg/m^3
then volume of water required=mass/density
=39.021 m^3
=10308.2577 US liquid gallon
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