Question 4.sp.2: If a baked potato contains 3 g of protein, a trace of fat, a...

If a baked potato contains 3 g of protein, a trace of fat, and 23 g of carbohydrates, estimate its number of Calories.
Analysis
Use the caloric value (Cal/g) of each class of molecule to form a conversion factor to convert the number of grams to Calories and add up the results.

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[1] Identify the original quantity and the desired quantity.

3 g protein
23 g carbohydrates       ? Cal
original quantit            desired quantity

[2] Write out the conversion factors.
• Write out conversion factors that relate the number of grams to the number of Calories for each substance. Each conversion factor must place the unwanted unit, grams, in the denominator so that the units cancel.

Cal–g conversion factor for protein

4 Cal
1 g protein

Cal–g conversion factor for carbohydrates

4 Cal
1 g carbohydrate

[3] Set up and solve the problem.
• Multiply the original quantity by the conversion factor for both protein and carbohydrates and add up the results to obtain the desired quantity.

 

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