Reference no: EM131940933

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1. A large lake with a volume of 2.0 x 10⁹ ft³ is filled by art inflow stream with a flow rate of 20 ft³/s and a non-conservative pollutant concentration of 5 ppm. A sewage outfall also discharges into the large lake with a flow rate of 3.5 ft³/s and a non-conservative pollutant concentration of 30 ppm. A outflow stream leaves the lake with the same flow rate of the inflow stream plus the outfall. The non-conservative pollutant has a decay rate coefficient of 0.20/day. Assume the pollutant is completely mixed in the lake and there is no evaporation or other gains or losses. What would be the steady state concentration in the outflow stream leaving the large lake?

2. A coal-fired power plant converts 40% of the coal's energy into electrical energy. The electrical output of the plant is 750 MW. The rest of the energy is converted to waste heat with 12% in the smokestack and 88% using cooling water from a stream. The river has a flow of 80 m³/s and temperature of 15°C.

a. What is the cooling water flow rate if the water temperature increases 12°C?

b. What is the new temperature of stream just downstream of the plant?