at 100g sample of water at 25C° and 1 atm of pressure? then 100g of water that has recently been heated to 100° c from 0° C and then cooled to 25° C 1 atm of pressure?
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Answer:
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Lumen
Physics
Heat and Heat Transfer Methods
Temperature Change and Heat Capacity
LEARNING OBJECTIVES
By the end of this section, you
Solution
Because water is in thermal contact with the aluminum, the pan and the water are at the same temperature.
Calculate the temperature difference:
ΔT = Tf − Ti = 60.0
Solution
Use the equation for heat transfer Q = mcΔT to express the heat lost by the aluminum pan in terms of the mass of the pan, the specific heat of aluminum, the initial temperature of the pan, and the final temperature: Qhot = mAlcAl(Tf − 150ºC).
Express the heat gained by the water in terms of the mass of the water, the specific heat of water, the initial temperature of the water and the final temperature: Qcold = mWcW(Tf − 20.0ºC).
Note that Qhot<0 and Qcold>0 and that they must sum to ze