<u>Answer:</u> The amount of kilocalories contained in the given serving of soup is 0.137 kCal
<u>Explanation:</u>
<u>As per the USDA:</u>
Carbohydrates provide 4 calories per gram, protein provides 4 calories per gram, and fat provides 9 calories per gram.
We are given
Mass of fat in the soup serving = 5.0 g
Mass of carbohydrates in the soup serving = 20.0 g
Mass of protein in the soup serving = 3.0 g
Conversion factor used: 1 kCal = 1000 Cal
Applying unitary method:
1 gram of fat provides 9 calories
So, 5.0 gram of fat will provide = ![\frac{9}{1}\times 5.0=45Cal=0.045kCal](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B1%7D%5Ctimes%205.0%3D45Cal%3D0.045kCal)
- <u>For Carbohydrates:</u>
1 gram of carbohydrates provides 4 calories
So, 20.0 gram of carbohydrates will provide =![\frac{4}{1}\times 20.0=80Cal=0.080kCal](https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B1%7D%5Ctimes%2020.0%3D80Cal%3D0.080kCal)
1 gram of proteins provides 4 calories
So, 3.0 gram of fat will provide = ![\frac{4}{1}\times 3=12Cal=0.012kCal](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B1%7D%5Ctimes%203%3D12Cal%3D0.012kCal)
Total kilocalories per serving = [0.045 + 0.080 + 0.012] kCal = 0.137 kCal
Hence, the amount of kilocalories contained in the given serving of soup is 0.137 kCal