In: Physics
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?
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