
Concept explainers
The amount of thermal energy to be added to a substance for a given change in temperature.

Answer to Problem 19PP
The amount of thermal energy to be added is
Explanation of Solution
Given:
The temperature of
Formula Used:
When temperature of an object is changed from
Here a state change, melting of ice is involved and hence the thermal energy involved in this change has two parts-one being the energy involved in melting of solid and the energy for temperature change.
The energy for melting of ice of mass m is given by,
In the above equation, the parameter
The energy for causing temperature change is dependent on the temperature change ,mass of the object
Thus, the total thermal energy for this given conversion is ,
Calculation:
Here, ice is having a mass of
The initial temperature of ice in Kelvin can be calculated as,
Similarly, the final temperature of water in Kelvin is,
Substituting these parameters in (1), the thermal energy to be added to achieve this temperature change is,
Conclusion:
Thus, the thermal energy required to raise the temperature of ice for the given range is
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