Specific Heat Capacity and Thermal Conductivity
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1. The problem statement, all variables and given/known data
A pond of water at 0°C is covered with a layer of ice 4.50 cm thick. If the air temperature stays constant at -11.0°C, how much time does it take for the thickness of the ice to increase to 9.00 cm?
____________hours
Hint: To solve this problem, use the heat conduction equation,
dQ/dt = kA T/x
and note that the incremental energy dQ extracted from the water through the thickness x is the amount required to freeze a thickness dx of ice. That is, dQ = LA dx, where is the density of the ice, A is the area, and L is the latent heat of fusion. (The specific gravity and thermal conductivity for ice are, respectively, 0.917 is 2.0 W/m/°C.)
2. Relevant equations
Heat conduction equation
2007-02-24
05:17:41
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3 answers
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asked by
nassafellow
2
in
Physics