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In: Physics

In winter, people play hockey on Alta Lake in Whistler. However, it is not considered safe...

In winter, people play hockey on Alta Lake in Whistler. However, it is not considered safe to by the Canadian Red Cross play hockey on ice until the ice is 20 cm thick. On a winter day with a temperature −10◦C, it is observed that the lake has a 1cm thick layer of ice over the entire surface.

Constants which may be of use: The thermal conductivity of ice is 2.18W/m · K. Density of ice 916.7 kg/m3 and water 1000 kg/m3. Latent heat of fusion 334x103 J/kg.

A. If the air temperature remains at −10◦C, find the rate in cm per hour at which ice is added to the layer initially. The thermal conductivity of ice is 2.18W/m · K. Note: Write cm per hour as cm/hr.

B. Find the rate in cm per hour at which ice is added to the layer as a function of the thickness x.

C. Estimate the time it takes before you can safely play hockey.

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Expert Solution

genius_generous answered 10 months ago
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