A battle has erupted over a local power plant owner\\\'s decision to raise the p

Question

A battle has erupted over a local power plant owner's decision to raise the power delivered by the plant from 171 MW to 488 MW (The delivered power accounts for energy losses). The local population is increasing, so the area needs more power. However, the plant expends its heated waste water* into the Frustration River; local citizens are concerned that the heated water will raise water temperatures to the point where the endangered river smelt will die from oxygen depletion. Local biologists called into the fray report that the smelt can only withstand an average increase of 3.44

Explanation / Answer

76.7 ft = 23.3782 m
47.2 ft = 14.38656 m
velocity = 10.4 mph = 4.64922 m/sec

so. volumetric flow rate = 23.3782*14.38656*4.64922 = 1563.6808891487 m^3 / sec
so.. mass flow rate = volumetic rate * 10^3 = 1563.6808891487 * 10^3 kg / sec

so.. temperature change = 3.44 C

so.. heat rate required = 1563.6808891487462 *1000 * 4186 * 3.44 = 22516754.6148 Joule / sec = 22516.7546148 MW

efficientcy = 32.5 %

so.. total power * ( 1 - 32.5/100) = 22516.7546148

so.. total power = 33358.154985 MW
so.. power transmitteed = 33358.154985 - 22516.7546148 = 10841.4003702 MW

so.. the maximum power that can be transmitted = 10841.4003702 MW for temperature to increase 3.44 C



so... the power can be increased to 488 MW ...

the maximum power that can be delivered without harming smelt = 171 + 10841.4003702 = 11012.4003702 MW

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