The number of kilocalories in food is determined by calorimetry techniques in wh
ID: 1509311 • Letter: T
Question
The number of kilocalories in food is determined by calorimetry techniques in which the food is burned and the amount of heat transfer is measured.
(a) How many kilocalories per gram are there in a 5.00-g peanut, if the energy from burning it is transferred to 0.540 kg of water held in a 0.136-kg aluminum cup, causing a 54.9°C temperature increase? (The specific heat capacity of water is 1.00 kcal/(kg · °C) and the specific heat capacity of aluminum is 0.215 kcal/(kg · °C).)
kcal/g
(b) The labeling information on a package of peanuts states that 1 serving is equal to 28 g and 170 Calories. Compare your answer in part (a) to this labeling information. Are the two values consistent? (Consider the values to be consistent if they are within 0.5 kcal/g of each other.)
YesNo
Explanation / Answer
(A) Specific heat of water=1 cal/gK
Specific heat of aluminium= 0.215 cal/gK```
Heat absorbed = m*c*(delta T)
where m=mass , c= specific heat , delta T = chage in temperature
Now, total heat absorbed = heat absorbed by water + heat aabsorbed by aluminium
total heat absorbed = 420*1*53.7 + 110*0.215*53.7
total heat absorbed = 22554 + 1270 = 23824 calories
therefore, there are 23.824 Kcal in 3.41g of brazil nut
Hence , there are 6.986 Kcal per gram of brazil nut.
(B) For 1 gram , 6.986 Kcal are consumed.
Therefore , for 14 g , 97.811 Kcal will be consumed.
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