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Water at the top of Niagara Falls has a temperature of11.0°C. If it falls a dist

ID: 1669850 • Letter: W

Question

Water at the top of Niagara Falls has a temperature of11.0°C. If it falls a distance of40.0 m and all of its potential energygoes into heating the water, calculate theincrease in temperature of the water at the bottomof the falls. °C A 40.0 g piece of cadmium is at15°C. If 415 cal of energy is added to the cadmium, what isits final temperature?
1°C Water at the top of Niagara Falls has a temperature of11.0°C. If it falls a distance of40.0 m and all of its potential energygoes into heating the water, calculate theincrease in temperature of the water at the bottomof the falls. °C A 40.0 g piece of cadmium is at15°C. If 415 cal of energy is added to the cadmium, what isits final temperature?
1°C

Explanation / Answer

Height h = 40 m

Heat energy = change in potential energy

               Q = mgh

                    = 392 m

Initial temp of the water   t = 11 oC

We know Q = mC dt

From this change in temperature dt = Q / mC

                                                         = 392 / C

Where C = specific heat of water = 4186 J / kg oC

So, dt = 0.0936 oC

(b). Mass of the cadmium M = 40 g

Initial temperature t = 15 oC

Energy added Q = 415 cal

We know Q = mC dt

From this raise in temperature dt = Q / mC

Where C = specific heat of cadmium

Som, final temperature t ‘ = t + dt