Solved: BIO Entropy Change from Digesting Fat. Digesting

Chapter 20, Problem 39P

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QUESTION:

Problem 39P

BIO Entropy Change from Digesting Fat. Digesting fat produces 9.3 food calories per gram of fat, and typically 80% of this energy goes to heat when metabolized. (One food calorie is 1000 calories and therefore equals 4186 J.) The body then moves all this heat to the surface by a combination of thermal conductivity and motion of the blood. The internal temperature of the body (where digestion occurs) is normally 37°C, and the surface is usually about 30°C. By how much do the digestion and metabolism of a 2.50-g pat of butter change your body’s entropy? Does it increase or decrease?

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QUESTION:

Problem 39P

BIO Entropy Change from Digesting Fat. Digesting fat produces 9.3 food calories per gram of fat, and typically 80% of this energy goes to heat when metabolized. (One food calorie is 1000 calories and therefore equals 4186 J.) The body then moves all this heat to the surface by a combination of thermal conductivity and motion of the blood. The internal temperature of the body (where digestion occurs) is normally 37°C, and the surface is usually about 30°C. By how much do the digestion and metabolism of a 2.50-g pat of butter change your body’s entropy? Does it increase or decrease?

ANSWER:

Solution 39P

Step 1:

In this question, we need to find the change in entropy and also check if the entropy decreases or increases

One food calorie = 1000 calories or 4186 J

Heat transferred to body by digestion of 2.5 g fat is

We have 9.3 food calories per gram of fat

Hence we get heat transferred as

        

        

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