Answer :
Final answer:
To calculate the energy value of olive oil in kcal/g, the heat absorbed by the water was computed using the formula q = mcΔT and then divided by the mass of the olive oil sample. The energy value of the olive oil is found to be 9.055 kcal/g.
Explanation:
To find the energy value of olive oil in kcal/g, we will determine the amount of heat absorbed by the water and then convert this to kcal. The formula to calculate heat absorbed by the water is q = mcΔT, where m is the mass of the water, c is the specific heat capacity of water (which is approximately 1 cal/g°C or 4.184 J/g°C), and ΔT is the change in temperature.
First, we calculate the change in temperature, ΔT: ΔT = 39.1°C - 22.7°C = 16.4°C.
Next, we calculate the heat absorbed by the water, using the specific heat capacity in calories since we want our answer in kcal: q = (370 g)(1 cal/g°C)(16.4°C) = 6,068 cal.
To convert to kcal, we divide by 1,000 since 1 kcal = 1,000 cal: q = 6,068 cal / 1,000 = 6.068 kcal.
Finally, we divide the heat by the mass of olive oil to find the energy value per gram: Energy value = 6.068 kcal / 0.670 g = 9.055 kcal/g.
Therefore, the energy value of the olive oil is 9.055 kcal/g.
