According to the label on the skim milk, 1 cup (244 mL) of skim milk contains 9.00 g pf protein. Assuming the density of the skim milk is 1.10 g/mL, what should the mass percent of protein in milk be?
244 mL of skim milk has a mass of 244mL*1.1g/mL = 268.4 g
If 9.0 g of that is protein, the protein mass fraction is 0.0335, or 3.35% protein.
To determine the mass percent of protein in milk, we need to find the mass of protein in 1 cup of skim milk and then calculate the ratio of that mass to the total mass of the milk.
1. First, find the mass of protein in 1 cup (244 mL) of skim milk. We are given that 1 cup of skim milk contains 9.00 g of protein.
2. Next, calculate the mass of 1 cup of skim milk. Since we are given the density of skim milk as 1.10 g/mL, we can multiply the volume of 1 cup (244 mL) by the density to find the mass.
Mass of 1 cup of skim milk = Volume of 1 cup (in mL) x Density of skim milk
= 244 mL x 1.10 g/mL
= 268.4 g
3. Finally, calculate the mass percent of protein in milk. Divide the mass of protein by the total mass of milk and multiply by 100.
Mass percent of protein in milk = (Mass of protein / Mass of milk) x 100
= (9.00 g / 268.4 g) x 100
≈ 3.35%
Therefore, the mass percent of protein in milk should be approximately 3.35%.
To find the mass percent of protein in milk, we need to determine the mass of protein in 1 cup (244 mL) of skim milk and then calculate the percentage.
First, we can calculate the mass of skim milk using its density. The density of skim milk is given as 1.10 g/mL. So, the mass of 1 cup (244 mL) of skim milk can be found by multiplying the volume (244 mL) by the density (1.10 g/mL):
Mass of skim milk = Volume of skim milk × Density of skim milk
= 244 mL × 1.10 g/mL
= 268.4 g
Now, we can calculate the mass percent of protein in the milk. The skim milk label states that 1 cup (244 mL) of skim milk contains 9.00 g of protein. So, the mass percent can be calculated by dividing the mass of protein by the mass of skim milk and then multiplying by 100:
Mass percent of protein = (Mass of protein / Mass of skim milk) × 100
= (9.00 g / 268.4 g) × 100
= 3.35%
Therefore, the mass percent of protein in the skim milk should be approximately 3.35%.