48. Energy that is not utilized for work or heat transfer is converted to the chemical energy of body fat containing about 39 kJ/g. How many grams of fat will you gain if you eat 10,000 kJ (about 2500 kcal) one day and do nothing but sit relaxed for 16.0 h and sleep for the other 8.00 h? Use data from Table 7.5 for the energy consumption rates of these activities.
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To determine how many grams of fat you will gain, we need to calculate the total energy expended during the 24-hour period. Let's break it down step by step:
1. Determine the energy consumption rates for sitting relaxed and sleeping using Table 7.5. Let's assume an average energy consumption rate of 75 kJ/h for sitting relaxed and 54 kJ/h for sleeping.
2. Calculate the energy expended during each activity:
- Energy expended while sitting relaxed = 75 kJ/h x 16 h = 1200 kJ
- Energy expended while sleeping = 54 kJ/h x 8 h = 432 kJ
3. Calculate the total energy expended:
- Total energy expended = Energy while sitting relaxed + Energy while sleeping = 1200 kJ + 432 kJ = 1632 kJ
4. Calculate the remaining energy that is not utilized for work or heat transfer:
- Remaining energy = Total energy intake - Total energy expended = 10,000 kJ - 1632 kJ = 8368 kJ
5. Convert the remaining energy to grams of body fat using the information that body fat contains about 39 kJ/g:
- Grams of fat gained = Remaining energy / Energy content of body fat per gram = 8368 kJ / 39 kJ/g ≈ 214.67 g
Therefore, if you eat 10,000 kJ in a day and do nothing but sit relaxed for 16 hours and sleep for the other 8 hours, you would gain approximately 214.67 grams of body fat.