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

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Physics

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

Constants which may be of use: The thermal conductivity of iceis 2.18W/m · K. Density of ice 916.7 kg/m3 and water1000 kg/m3. Latent heat of fusion 334x103J/kg.

A. If the air temperature remains at −10◦C, find therate 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 perhour as cm/hr.

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

C. Estimate the time it takes before you can safely playhockey.

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