If you want to lose 1 pound of "fat," which is 20% water, how many kilocalories do you need to expend?

454 g/lb x 9 kcal/g = about 4086 kcal/g pure fat.

Then 4086-20% H2O = about 3269 kcal.
I'm not a nutritional expert and I have used approximations; please look in your text and use the appropriate numbers. that are more up to date than my memory.

To calculate the number of kilocalories you need to expend to lose 1 pound (or 0.45 kilograms) of fat, which is 20% water, we need to go through a two-step process:

Step 1: Determine the weight of fat you want to lose.
Since fat is 80% of the total weight (100% - 20% water), the weight of fat in the 1 pound would be 0.8 pounds (80% of 1 pound). Converting that to kilograms, it would be 0.8 * 0.45 = 0.36 kilograms.

Step 2: Calculate the total kilocalories needed to expend for fat loss.
It is commonly understood that to lose 1 pound of fat, you need to create a caloric deficit of about 3500 kilocalories. Therefore, to find out the kilocalories needed to expend to lose 0.36 kilograms of fat, you would multiply this weight by 3500 kilocalories.

Calculation: 0.36 kg * 3500 kilocalories/kg = 1260 kilocalories

Hence, to lose 1 pound of fat, which is 20% water, you would need to expend approximately 1260 kilocalories.

To calculate the number of kilocalories you need to expend in order to lose 1 pound of "fat" which is 20% water, you can follow these steps:

Step 1: Determine the total weight of the 1-pound "fat" including water.
Since the "fat" is 20% water, this means the remaining 80% is the actual fat content. So, we need to find the weight of the 100% fat content that equals 1 pound.

Weight of 100% fat = 1 pound / (1 - 20%) = 1 pound / 0.8 = 1.25 pounds

Step 2: Convert the weight from pounds to kilograms.
1 pound is approximately equal to 0.4536 kilograms.

Weight of fat in kilograms = 1.25 pounds * 0.4536 kg/pound = 0.567 kilograms

Step 3: Calculate the energy expenditure to lose 1 kilogram of fat.
To lose 1 kilogram of fat, you need to expend approximately 7700 kilocalories.

Energy expenditure to lose 1 kilogram of fat = 7700 kilocalories

Step 4: Calculate the energy expenditure to lose 0.567 kilograms of fat (from Step 2).
Multiply the energy expenditure per kilogram by the weight of fat in kilograms.

Energy expenditure to lose 0.567 kilograms of fat = 7700 kilocalories * 0.567 kg = 4361.9 kilocalories

Therefore, to lose 1 pound of "fat" which is 20% water, you need to expend approximately 4361.9 kilocalories.