Fish-liver oil is a good source of Vitamin A. When 0.1232 g of fish liver oil is dissolved in 500. mL of solvent, an absorbance of 0.724 is recorded. When 0.00167 g of Vitamin A is dissolved in 250. mL of solvent, an absorbance of 1.018 is recorded. Calculate the mass percent of Vitamin A in fish-liver oil.
I have no idea where to go with this for an equation. any assistance would be greatly appreciated.
Well, well, well, looks like we've got ourselves a fishy problem here! No worries, I'm here to help!
To calculate the mass percent of Vitamin A in fish-liver oil, we need to compare the absorbances of both the fish-liver oil and the pure Vitamin A solutions.
First, let's calculate the concentration of Vitamin A in the fish-liver oil solution. We can use Beer-Lambert's Law, which states that absorbance is directly proportional to concentration:
A1/A2 = C1/C2
Where A1 and A2 are the absorbances of the fish-liver oil and pure Vitamin A solutions, and C1 and C2 are their respective concentrations.
Now, we can rearrange the equation to solve for the concentration of Vitamin A in the fish-liver oil solution (C1):
C1 = (A1 x C2) / A2
Plugging in the values from the problem:
C1 = (0.724 x 0.00167g) / 1.018
Now, we can calculate the mass of Vitamin A in the fish-liver oil solution by multiplying the concentration (C1) by the volume of the solvent used (500 mL):
Mass of Vitamin A in fish-liver oil = C1 x Volume
Mass of Vitamin A in fish-liver oil = (C1 / 100) x Mass of fish-liver oil
To calculate the mass percent of Vitamin A in the fish-liver oil, we divide the mass of Vitamin A in fish-liver oil by the mass of the entire fish-liver oil sample and multiply by 100.
I hope that clears things up for you! Remember, when life gets confusing, just keep swimming!
To calculate the mass percent of Vitamin A in fish-liver oil, we need to compare the absorbance values obtained from both solutions.
First, let's calculate the concentration of Vitamin A in both solutions.
1) For fish liver oil solution:
Concentration = Mass of Vitamin A / Volume of solvent = 0.1232 g / 500 mL = 0.0002464 g/mL
2) For Vitamin A solution:
Concentration = Mass of Vitamin A / Volume of solvent = 0.00167 g / 250 mL = 0.00000668 g/mL
Now, we can calculate the mass percent of Vitamin A in fish-liver oil using the following formula:
Mass percent = (Concentration of Vitamin A in fish liver oil / Concentration of Vitamin A in Vitamin A solution) * 100%
Substituting the values:
Mass percent = (0.0002464 g/mL / 0.00000668 g/mL) * 100%
Mass percent = 36.82609 * 100%
Mass percent = 3682.609%
Therefore, the mass percent of Vitamin A in fish-liver oil is approximately 3682.609%.
To calculate the mass percent of Vitamin A in fish-liver oil, you need to compare the absorbances of the two solutions and use the information provided about the amount of fish-liver oil and Vitamin A used.
First, let's define some variables:
- Let M1 be the mass of fish-liver oil used (in grams).
- Let M2 be the mass of Vitamin A used (in grams).
- Let A1 be the absorbance of the fish-liver oil solution.
- Let A2 be the absorbance of the Vitamin A solution.
From the problem statement, we have the following information:
- M1 = 0.1232 g of fish-liver oil
- M2 = 0.00167 g of Vitamin A
- A1 = 0.724
- A2 = 1.018
Now, let's set up the equation. The absorbance of a solution is directly proportional to the concentration of the substance being measured. Therefore, we can write:
A1 / A2 = (C1 * l1) / (C2 * l2)
where C1 and C2 are the concentrations of Vitamin A in the fish-liver oil and Vitamin A solutions, respectively, and l1 and l2 are the path lengths of the light through the solutions (which can be assumed to be the same).
We also know that concentration (C) = mass (M) / volume (V), so we can rewrite the equation as:
A1 / A2 = (M1 / V1) / (M2 / V2)
Substituting the given values:
0.724 / 1.018 = (0.1232 g / 500 mL) / (0.00167 g / 250 mL)
Now, let's solve for M1 / M2, which represents the mass ratio of fish-liver oil to Vitamin A:
M1 / M2 = (0.724 / 1.018) * (0.00167 g / 250 mL) * (500 mL / 0.1232 g)
M1 / M2 = 0.0114
Since we want to calculate the mass percent of Vitamin A in fish-liver oil, we need to convert the mass ratio to a mass percent. The mass percent of Vitamin A is given by:
Mass percent = (M2 / M1) * 100
Substituting the value of M1 / M2 = 0.0114:
Mass percent = (0.0114) * 100
Mass percent = 1.14%
Therefore, the mass percent of Vitamin A in fish-liver oil is 1.14%.