Question

In: Physics

The initial temperature of the lake at the edge of the mountain glacier is 6.40'C, and...

The initial temperature of the lake at the edge of the mountain glacier is 6.40'C, and the volume of water is 185,000m^3. There is iceberg which the mass is 17.3*10^6kg, temperature is -10'C. The iceberg fell and floated on the lake.

If there is no energy exchange except between the lake and the iceberg, what is the final temperature of the lake and the iceberg?

If there is remaining ice, how much ice is left?

Expert Solution

Density of water is

Volume of the lake water is

Mass of lake water is

Initial temperatue of lake water is

Specific heat capacity of water is

Mass of iceberg is

Initial Temperature of Iceberg is

Specific heat capacity of ice is

Latent heat of ice is

Heat required for the whole iceberg to melt into water,

Heat given out by the water if it reaches 0 degree celcius,

which is less than that required by ice, therefore the whole iceberg will not melt.

Some amount will remain at 0 degree celcius

Therefore, their final temperature will be

Assume a mass of the iceberg melts into water, then by Calorimetry,

Heat absorbed by the whole iceberg to reach + Heat absorbed by of iceberg to change to water = Heat given out by water while reaching

This much mass of iceberg will melt.

Therefore, mass of iceberg left

genius_generous answered 2 years ago

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