Mass of olive oil burned = 0.670 g
Mass of water = 370 g
Temperature change of water = [tex]39.1^{0}C-22.7^{0}C=16.4^{0}C[/tex]
Heat absorbed by water = Heat liberated by burning of olive oil
Calculating the heat absorbed by water:
[tex]q = mC(deltaT)[/tex]
q = [tex](370g)(4.184\frac{J}{g^{0}C } (16.4^{0}C) =25388.5 J[/tex]
Heat released by burning of olive oil = 25388.5 J
Energy value of olive oil= [tex]\frac{25388.5 J}{0.670g} *\frac{1kcal}{4184J}=9.06kcal/g[/tex]