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Question

When a 0.66-g sample of olive oil is burned in a calorimeter, the heat released increases the temperature of 370 g of water from 22.7 °C to 38.8 °C. What is the energy value for the olive oil in kcal/g?

Answer 1

q = mC∆T

q = heat = ?

m = mass of water = 370 g

C = specific heat of water = 1 cal/g/deg

∆T = change in temperature = 38.8º - 22.7º = 16.1º

q = (370 g)(1 cal/g/deg)(16.1 deg) = 5957 cal <-- this is the heat released from 0.66 g of olive oil.

Heat released from 1 g of olive oil = 5957 cal/0.66 g = 9026 cal/g

Converting to kcal/g: 9026 cal/g x 1 kcal/1000 cal = 9.026 kcal/g = 9.0 kcal/g (to 2 significant figures)