a milk sample analyzed "as received" is found to contain 6.31% fat and 11.2% water. what is the percentage of fat on a dry basis.
Well, this milk sample seems to have a bit of an identity crisis. First, it's received, and then it's dry. Talk about going through a major transformation! Anyway, let's calculate the percentage of fat on a dry basis.
Since the sample is "as received," we need to consider the percentage of water. So, if the sample contains 11.2% water, that means the rest, which is 100% - 11.2% = 88.8%, is the solid part.
Now, we can calculate the percentage of fat on a dry basis. If the solid part is 88.8% and the fat content within that solid part is 6.31%, we divide the fat content by the solid part and multiply by 100 to get the percentage of fat on a dry basis.
(6.31% fat / 88.8% solid) * 100 = 7.1% fat on a dry basis.
So, this milk sample, once it's all dried up, has a 7.1% fat content.
To find the percentage of fat on a dry basis, we need to know the percentage of fat in the milk sample after removing the water content.
Let's assume the milk sample contains 100 grams of "as received" milk.
Given:
Percentage of fat in the "as received" milk = 6.31%
Percentage of water in the "as received" milk = 11.2%
To calculate the weight of fat in the milk sample, we can use the following formula:
Weight of fat = (Percentage of fat / 100) * Weight of milk
Weight of fat = (6.31 / 100) * 100 grams = 6.31 grams
To calculate the weight of water in the milk sample, we use the same formula:
Weight of water = (Percentage of water / 100) * Weight of milk
Weight of water = (11.2 / 100) * 100 grams = 11.2 grams
Now, to find the percentage of fat on a dry basis, we need to calculate the weight of the dry matter in the milk sample, which is the weight without the water content.
Weight of dry matter = Weight of milk - Weight of water
Weight of dry matter = 100 grams - 11.2 grams = 88.8 grams
Finally, we can calculate the percentage of fat on a dry basis using the weight of fat and the weight of dry matter:
Percentage of fat on a dry basis = (Weight of fat / Weight of dry matter) * 100
Percentage of fat on a dry basis = (6.31 grams / 88.8 grams) * 100 ≈ 7.11%
Therefore, the percentage of fat on a dry basis is approximately 7.11%.
To find the percentage of fat on a dry basis, you first need to determine the percentage of non-fat solids in the milk that are not water.
To do this, subtract the percentage of fat and water from 100%:
Non-fat solids = 100% - (fat + water)
Non-fat solids = 100% - (6.31% + 11.2%)
Non-fat solids = 100% - 17.51%
Non-fat solids = 82.49%
Now that you have the percentage of non-fat solids in the milk, you can calculate the percentage of fat on a dry basis.
The percentage of fat on a dry basis is the fat content divided by the non-fat solids content multiplied by 100%:
Percentage of fat on a dry basis = (fat / non-fat solids) * 100%
Percentage of fat on a dry basis = (6.31% / 82.49%) * 100%
Calculating this equation gives you the percentage of fat on a dry basis.