Final answer:
To calculate the energy added to ice at 0°C to get water at 80°C, you must perform two calculations: one for the heat of fusion to melt the ice and another for heating the liquid water to the desired temperature.
Step-by-step explanation:
Calculating the total amount of energy added when heating ice at 0°C to water at 80°C involves several steps. First, you would calculate the heat energy required to melt the ice without changing its temperature, which is known as the heat of fusion. Assuming the mass of the ice is known, this is a single calculation using the specific heat of fusion for ice.
Next, once the ice has been converted to liquid water at 0°C, you must calculate the energy required to raise the temperature of the water from 0°C to 80°C. This can be done using the specific heat capacity of water and requires only one calculation, assuming the mass of the water (formerly ice) and the temperature change of 80°C are used.
In summary, you would perform two main calculations: one to melt the ice and another to heat the water. Importantly, real-world scenarios might require additional considerations like energy losses to the environment but for the sake of this problem, we are keeping it simple.