If 1 calorie raises the temperature of 1 gram of water by 1°C, what would be the temperature rise for 500 grams of water using 12,500 calories?

To determine the temperature rise of 500 grams of water using 12,500 calories, we start by recognizing that 1 calorie raises the temperature of 1 gram of water by 1°C. To find out how many degrees Celsius the 12,500 calories would raise the temperature of 500 grams of water, you can use the following relationship:

1 calorie per gram results in a temperature increase of 1°C. Therefore, for 1 gram of water, 12,500 calories would raise the temperature by 12,500°C, but since we are dealing with 500 grams, we need to adjust the calculation.

For 500 grams of water, the amount of temperature rise can be calculated using the formula:

[

\text{Temperature Rise (°C)} = \frac{\text{Total Calories}}{\text{Mass of Water (grams)}}

]

This means:

[

\text{Temperature Rise} = \frac{12,500 , \text{calories}}{500 , \text{grams}} = 25°C

]

Thus, when you provide 12,500 calories to 500 grams of water, the resulting temperature increase would be 25°C.