Water flowing over the Lower Falls in Yellowstone National Parkdrops 94m. If all

Question

Water flowing over the Lower Falls in Yellowstone National Parkdrops 94m. If all of the water's energy goes to heat it, what isit's temperature increase? Aluminum is melted during the recycling process. How much heat must be transferred to each kilogram of aluminumto bring it to its melting point 666*C from room temperature20*C? Aluminum is melted during the recycling process. How much heat must be transferred to each kilogram of aluminumto bring it to its melting point 666*C from room temperature20*C?

Explanation / Answer

Potential energy = Internal Energy m*g*h = m*Cp*delT, Cp = heat capacity of water delT = g*h/Cp = (9.8 m/s2 *94 m)/(4.18 J/g/C *1000g/1kg)) delT = 0.198Celsius.          Notethat 1kg*m2/s2 = 1J is how the unitscancel b) Cp = 0.897 J/g/C 1 kg *(0.897 J/g/C) *(1000 g/1kg) *(666 C - 20C) = 579462 J = 579kJ

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