This problem is asking for the required heat to change the temperature of 500 g of water by 50 °C. At the end, the result turns out to be 25,000 cal as shown below:
In science, calorimetry is the process whereby objects lose or gain energy according to the decrease or increase of their temperature. Thus, for these problems, we need to use the following equation:
[tex]Q =mC(T_f-T_i)[/tex]
Where Q stands for the heat, m for the mass, C for the specific heat of the object and T for the temperature (final and initial). Thus, for this problem, since it is about water, one fixes its specific heat as 1 cal /(g-°C) in order to obtain the following:
[tex]Q=500g*1\frac{1cal}{g\°C} *50\°C\\\\Q=25,000cal[/tex]
Learn more about calorimetry: brainly.com/question/1407669