Calculating Food Value of a Peanut Through Thermodynamics: Efficiency and Joules

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To calculate the food value of a peanut, one must first determine the total energy released during combustion, considering that only 40% of this energy heats the water. The specific heat equation (q=mCt) is used to find the energy absorbed by the water, which can then be scaled up to account for the total energy from the peanut. The discussion clarifies that to find the total energy, the calculated joules should be divided by 0.4, as this represents the 40% efficiency. Participants engage in a metaphor about apples to illustrate the concept of deriving total values from percentages. Understanding the relationship between the energy absorbed and the total energy is crucial for accurate calculations.
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Homework Statement



6. Cameron burns a 0.5g peanut beneath 75g of water, which increases in temperature from 22 ºC to 40 ºC
a. Assuming 40% efficiency, what is the food value, in J, of the peanut?
b. What is the food value in J per gram?

Homework Equations


q=mCt


The Attempt at a Solution



i just wanted to know does question a mean i take 40% from the calculated joules?
 
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No, it's not, what it's saying to you is that the energy given off by the peanut to heat up the water is only 40% of the total energy given off in combustion, you need to work out the 100%. (was confused there for a sec :D)
 
No. It means only 40% of the peanut's energy goes into the water
 
what so how am i meant to calulate the other 60% that's not possible?
 
Of course it's possible, that's like me saying to you;

You have 4 apples, which is 40% of the total number of apples from the bag, how many apples were in the bag?
 
er could you put that to me algerbarically please... i mean it makes sense if it was 50% all you do is double it
 
could it be .4x=(Joules calulated)?
 
0.0

From 50% to 100% you times by 2...

From 40% to 100% you times by...

And ^ yes you're right.
 
:smile:
Chewy0087 said:
Of course it's possible, that's like me saying to you;

You have 4 apples, which is 40% of the total number of apples from the bag, how many apples were in the bag?

Beat me to it again.
Although I considered replying earlier
in similar vein I just couldn't bear to do it.

David
 
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lawl =D
 
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