The temperature of water at the bottom of a lake whose upper surface has frozen to ice would be around

Consider the situation of the previous problem. Assume that the temperature of the water at the botton of the lake remains contant at 4^(@)C as the ice forms on the surface (the heat required to maintain the temperature of the bottom layer may come from the bed of the lake). The depth of the lake is 1.0m. Show that the thickness of the ice formed attains a steady state mamimum value. Find this value. The thermal conductivity of water =0.50Wm ^(-1) ^(@)C^(-1) . Take other relevent data form the previous problelm.

The temperature of water at the surface of a deep lake is 2^C . The temperature expected at the botton is

An air bubble starts rising from the bottom of a lake. Its diameter is 3.6 mm at the bottom and 4 mm at the surface. The depth of the lake is 250 cm and the temperature at the surface is 40^@ C . What is the temperature at the bottom of the lake? Given atmospheric pressure = 76 cm of Hg and g = 980 cm//s^2 .

At constant temperature if an air bubble present at the bottom of a lake at 8 atm pressure and with radius 0.1 cm rises to the surface then its new radius will become

The volume of an air bubble becomes three times as it rises from the bottom of a lake to its surface. Assuming atmospheric pressure to be 75 cm of Hg and the density of water to be 1//10 of the density of mercury, the depth of the lake is