William Thomson tells of running into Joule in 1847 at Mont Blanc; Joule had with him his bride and a long thermometer with which he was going to "try for elevation of temperature in waterfalls." The Horseshoe Falls at Niagara is 167 ft high and has a summer daytime flow rate of 2.55 x 106 L/s. If we assume all the energy due to falling is converted to heat, compute the maximum temperature difference between the water at the top and bottom of the falls. b. Using a flow rate of 2.55 x 10° L/s, compute the maximum power in watts that could be generated. It is, perhaps, interesting to note that the power generated from hydroelectric plants on the Niagara River is 4.4 gigawatts. а.

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Chapter1: Chemical Foundations
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William Thomson tells of running into Joule in 1847 at Mont Blanc; Joule had with him his bride and
a long thermometer with which he was going to "try for elevation of temperature in waterfalls." The
Horseshoe Falls at Niagara is 167 ft high and has a summer daytime flow rate of 2.55 x 10 L/s.
If we assume all the energy due to falling is converted to heat, compute the maximum
temperature difference between the water at the top and bottom of the falls.
b. Using a flow rate of 2.55 x 106 L/s, compute the maximum power in watts that could be
generated. It is, perhaps, interesting to note that the power generated from hydroelectric plants on
the Niagara River is 4.4 gigawatts.
а.
Transcribed Image Text:William Thomson tells of running into Joule in 1847 at Mont Blanc; Joule had with him his bride and a long thermometer with which he was going to "try for elevation of temperature in waterfalls." The Horseshoe Falls at Niagara is 167 ft high and has a summer daytime flow rate of 2.55 x 10 L/s. If we assume all the energy due to falling is converted to heat, compute the maximum temperature difference between the water at the top and bottom of the falls. b. Using a flow rate of 2.55 x 106 L/s, compute the maximum power in watts that could be generated. It is, perhaps, interesting to note that the power generated from hydroelectric plants on the Niagara River is 4.4 gigawatts. а.
Expert Solution
Step 1

Increase in temperature of the bulk is due to the change in internal energy. Internal energy is converted from bulk kinetic energy, acquired by 167 ft fall. Potential energy at 167 ft is converted into kinetic energy.

Change in internal energy can be set equal to the heat transferred,

q = mCp∆T         (1)

Heat transferred must be equal to the change in potential energy,

q = mg∆h          (2)

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