The sun's energy melts part of a glacier of ice at 0 degrees Celsius. The sun supplies 880 kilocalories to a big glacier of ice at 0 degrees Celsius. How many kilograms of ice will melt into liquid water at 0 degrees Celsius?

To determine the amount of ice that will melt, you need to know the heat required to melt one kilogram of ice. The heat required to melt one kilogram of ice at 0 degrees Celsius is 80 kilocalories.

Given that the sun is supplying 880 kilocalories to melt the ice, divide the total heat supplied by the heat required to melt one kilogram of ice:

880 kilocalories / 80 kilocalories = 11 kilograms

Therefore, 11 kilograms of ice will melt into liquid water at 0 degrees Celsius.

To determine the number of kilograms of ice that will melt, we need to use the specific heat capacity of ice and the amount of energy supplied by the sun.

The specific heat capacity of ice is the amount of energy required to raise the temperature of 1 kilogram of ice by 1 degree Celsius. For ice, it is approximately 1 kilocalorie/kg °C.

Given that the sun supplies 880 kilocalories to the ice, we can set up the following equation:

Energy supplied by the sun = Mass of ice * Specific heat capacity of ice

Using this equation, we can calculate the mass of ice that will melt:

Mass of ice = Energy supplied by the sun / Specific heat capacity of ice

Substituting the given values, we have:

Mass of ice = 880 kilocalories / 1 kilocalorie/kg °C = 880 kilograms

Therefore, 880 kilograms of ice will melt into liquid water at 0 degrees Celsius.