To calculate the calories required to raise the temperature of water, we can use the formula:
Q = mcΔT
Where:
- Q = heat energy (calories)
- m = mass of water (grams)
- c = specific heat capacity of water (1 cal/g°C)
- ΔT = change in temperature (°C)
In this case:
- m = 75 grams
- c = 1 cal/g°C
- ΔT = 50°C – 20°C = 30°C
Now, substituting the values into the formula gives us:
Q = 75 g * 1 cal/g°C * 30°C
Calculating that:
Q = 75 * 30 = 2250 calories
Therefore, you would need 2250 calories to raise the temperature of 75 grams of water from 20 degrees C to 50 degrees C.