Answer:
The amount of thermal energy needed is 15167500 joules.
Explanation:
By First Law of Thermodynamics, we see that amount of thermal energy (
), in joules, is equal to the change in internal energy. From statement we understand that change in internal energy consisting in two latent components (
, 
), in joules, and two sensible component (
), in joules, that is:
(1)
By definitions of Sensible and Latent Heat, we expanded the formula:
(2)
Where:
- Mass, in kilograms.
- Latent heat of fussion of water, in joules per kilogram.
- Latent heat of vaporization of water, in joules per kilogram.
- Specific heat of ice, in joules per kilogram per degree Celsius.
- Specific heat of water, in joules per kilogram per degree Celsius.
- Change in temperature of ice, measured in degrees Celsius.
- Change in temperature of water, measured in degrees Celsius.
If we know that 
, 
, 
, 
, 
, 
and 
, then the amount of thermal energy is:
The amount of thermal energy needed is 15167500 joules.
