How much energy, in calories, is needed to heat 18 cubic centimeters of fat from 25 degrees Celsius to 35 degrees Celsius?
q = mass fat x specific heat fat x (Tfinal-Tintial)
To calculate the energy needed to heat a substance, you can use the equation:
Q = m × c × ΔT
Where:
Q = Energy (in calories)
m = Mass of the substance (in grams)
c = Specific heat capacity of the substance
ΔT = Change in temperature (in degrees Celsius)
In this case, the substance is fat, and we know the following:
- Mass (m) = 18 grams (since 18 cubic centimeters of fat is equivalent to 18 grams)
- Change in temperature (ΔT) = 35°C - 25°C = 10°C
However, we need to find the specific heat capacity (c) of fat first, as it varies depending on the type of fat. Let's assume it to be 0.5 calories/gram °C, which is an average value.
Now, we can substitute the values into the equation:
Q = 18 grams × 0.5 calories/gram °C × 10°C
Q = 90 calories
Therefore, it requires 90 calories of energy to heat 18 cubic centimeters of fat from 25°C to 35°C.