How many kilocalories per gram are there in a 5.00-g peanut?

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The discussion centers on calculating the kilocalories per gram in a 5.00-g peanut using calorimetry. The initial method proposed involved calculating heat lost by the peanut, but there was confusion regarding the role of the calorimeter, which includes both water and an aluminum container. The correct approach recognizes that the heat generated by burning the peanut raises the temperature of both the water and the container, leading to a revised equation. Clarification was provided on the ideal nature of the calorimeter and its components. Ultimately, understanding the calorimeter's function is crucial for accurate calculations in this context.
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Homework Statement
Please see below
Relevant Equations
Conservation of energy
For this,
1680400542713.png

The solution is,

1680400350012.png

However, I am not sure why they did part(a) like that. I thought we would do it like this:

##Q_{nut} + Q_{w} = 0## since calorimeter is ideal so energy is conserved in the nut-water system
##Q_{nut} =-Q_{w}##
##Q_{nut} = -(0.500)(4184)(54.9) = -1.15 \times 10^5 J##

Therefore, the heat lost by the nut is ##Q_{nut} = 1.15 \times 10^5 J = 27.45 \frac{kcal}{5.00g} = 5.49 \frac{kcal}{g}##

However, I don't understand their method for part(a), is there a mistake in mine?Many thanks!
 
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I think you misunderstood the measurement. For part (a) you generate heat ##Q## by burning 5 g of peanuts. The peanut at this point is gone but the heat is not. The heat is used to raise the temperature of two things, the water and the aluminum container which together form the calorimeter. It is these two that are assumed isolated from the rest of the world so that the heat ##Q## that is pumped into them goes into raising their common temperature by 54.9 °C. You misunderstood in what way the calorimeter is "ideal."
 
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kuruman said:
I think you misunderstood the measurement. For part (a) you generate heat ##Q## by burning 5 g of peanuts. The peanut at this point is gone but the heat is not. The heat is used to raise the temperature of two things, the water and the aluminum container which together form the calorimeter. It is these two that are assumed isolated from the rest of the world so that the heat ##Q## that is pumped into them goes into raising their common temperature by 54.9 °C. You misunderstood in what way the calorimeter is "ideal."
Thank you for your reply @kuruman!

That is very helpful. I did not realize that the calorimeter included the aluminum container, so using my method I should have done ##Q_{nut} + Q_{w} + Q_{A1} = 0##
 
Yes.
 
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kuruman said:
Yes.
Thank you for your help @kuruman!
 
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