5. A manufacturer claims that its new dietetic dessert has \"fewer than 10 Calor

Question

5. A manufacturer claims that its new dietetic dessert has "fewer than 10 Calories per serving." To test the claim, a chemist at the Department of Consumer Affairs places one serving in a bomb calorimeter and burns it in O2. The initial temperature is 24.04°C and the temperature rises to 30.86°C. If the heat capacity of the calorimeter is 8.151 kJ/K, is the manufacturer's claim correct? (16 pts) T = T2-T1 Heated released by combustion of this dessert: Convert the q from kJ into kCal Compare the two value of the heat and determine whether the manufacturer's claim is correct or not 12

Explanation / Answer

Change in temperature = T2 - T1 = 30.86 - 24.04 = 6.82oC

Heat released = C x T

= 8.151 x 6.82

= 55.589 KJ

1 KJ = 0.239 Kcal

So 55.589 KJ = 55.589 x 0.239 = 13.286 kcal

No the manufacturer's claim is not correct , as the energy released in one serving is more than 10 calories.

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