In winter, people play hockey on Alta Lake in Whistler.
However, it is not considered safe...
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In winter, people play hockey on Alta Lake in Whistler.However, it is not considered safe by the Canadian Red Cross toplay hockey on ice until the ice is 20 cm thick. On a winter daywith a temperature −10◦C, it is observed that the lake has a 1cmthick layer 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 water 1000 kg/m3.Latent heat of fusion 334x103 J/kg.
a) If the air temperature remains at −10◦C, find the rate incm per hour at which ice is added to the layer initially. Thethermal conductivity of ice is 2.18W/m · K. Answer in cm/hour. Theunits are already written for you.
b) Find the rate in cm per hour at which ice is added to thelayer as a function of the thickness X, where X is the number ofcentimeters.
c) Estimate the time it takes before you can safely playhockey
Answers: a) 2.56 cm/hr b) 2.56/X c) 3 days
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