Answer:
The calorie content of 65g of candy is 326.78 cal
Explanation:
Step 1: Data given
Mass of the candy = 15.00 grams
Mass of the container = 0.325 kg
Mass of water = 1.75kg
0.624 kg at an initial temperature of 15.0°C.
The specific heat of aluminium = 0.22 Cal/kg°C
The specific heat of water = 1 cal/kg°C
Step 2: Calculate calorie content for a 15 gram sample
ΔQ = Σm*c*ΔT
⇒ m = mass in grams
⇒ with c= the specific heat in Cal/kg°C
⇒ with ΔT = T2 -T1 = the change in temperatures in °C
ΔQ = m(bomb) * C(aluminium) * ΔT + m(cup) * C(aluminium) * ΔT + m(H2O) * c(H20) * ΔT
ΔQ = (m(bomb) + m(cup)) * c(aluminium) + m(H2O)*c(H20) ) * ΔT
⇒ with mass of the bomb calorimeter = 0.325 kg
⇒ with mass of the cup = 0.624 kg
⇒ with c(aluminium) = the specific heat of aluminium = 0.22 Cal/kg°C
⇒ with mass of water = 1.75 kg
⇒ with c(water) = the heat capacity of water = 1 Cal/kg°C
⇒ with ΔT = the change in temperature = T2 - T1 = 53.5 - 15.0 = 38.5 °C
ΔQ = 0.325*0.22*38.5 + 0.624*0.22*38.5 + 1.75*1*38.5
ΔQ = ((0.325 + 0.624)*0.22 + 1.75*1)*38.5
ΔQ = 75.41 cal
Step 3: Calculate the calorie content for a 65 gram sample
For a 65g sample the calorie content will be more or less 4x higher than a 15 gram sample:
ΔQ = 75.41 * (65/15) = 326.78 cal
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