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?

• A. 5°C
• B. 10°C
• C. 15°C
• D. 25°C

Answer: (D)

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.