Barium Sulfate precipitated from a 1.300 sample was contaminated with 9.4 mg of Fe2(SO4)3 and weighed a total of 314.0 mg. Calculate the apparent % BaSO4 and True % BaSO4
Apparent % BaSO4 = (314.0 - 9.4) / 1.300 x 100 = 24.15%
True % BaSO4 = (314.0 - 9.4) / (1.300 + 9.4) x 100 = 24.02%
To calculate the apparent % BaSO4, we need to determine the amount of BaSO4 and Fe2(SO4)3 in the sample.
Given:
Weight of the sample (BaSO4 + Fe2(SO4)3) = 314.0 mg
Weight of Fe2(SO4)3 = 9.4 mg
Weight of the sample (BaSO4) = Weight of the sample (BaSO4 + Fe2(SO4)3) - Weight of Fe2(SO4)3
Weight of the sample (BaSO4) = 314.0 mg - 9.4 mg = 304.6 mg
Apparent % BaSO4 = (Weight of BaSO4 / Weight of the sample) * 100
Apparent % BaSO4 = (304.6 mg / 314.0 mg) * 100
Apparent % BaSO4 = 97.0%
To calculate the true % BaSO4, we need to consider the contamination of Fe2(SO4)3.
True weight of BaSO4 = Weight of the sample (BaSO4) - Weight of Fe2(SO4)3
True weight of BaSO4 = 304.6 mg - 9.4 mg = 295.2 mg
True % BaSO4 = (True weight of BaSO4 / Weight of the sample) * 100
True % BaSO4 = (295.2 mg / 314.0 mg) * 100
True % BaSO4 = 94.0%
To calculate the apparent % BaSO4, we need to find the mass of BaSO4 in the contaminated sample, and then calculate the percentage of BaSO4 based on the total mass of the sample.
To find the mass of BaSO4 in the sample, we need to subtract the mass of Fe2(SO4)3 from the total mass of the sample.
Mass of BaSO4 = Total mass of sample - Mass of Fe2(SO4)3
Mass of BaSO4 = 314.0 mg - 9.4 mg
Mass of BaSO4 = 304.6 mg
Now, to calculate the apparent % BaSO4, we can use the following formula:
Apparent % BaSO4 = (Mass of BaSO4 / Total mass of sample) * 100
Apparent % BaSO4 = (304.6 mg / 314.0 mg) * 100
Apparent % BaSO4 = 97.2%
To calculate the true % BaSO4, we need to consider the fact that the BaSO4 precipitate was contaminated with Fe2(SO4)3. We need to calculate the mass of pure BaSO4 in the sample by subtracting the mass of Fe2(SO4)3 from the mass of BaSO4.
Mass of pure BaSO4 = Mass of BaSO4 - Mass of Fe2(SO4)3
Mass of pure BaSO4 = 304.6 mg - 9.4 mg
Mass of pure BaSO4 = 295.2 mg
Now, to calculate the true % BaSO4, we can use the following formula:
True % BaSO4 = (Mass of pure BaSO4 / Total mass of sample) * 100
True % BaSO4 = (295.2 mg / 314.0 mg) * 100
True % BaSO4 = 94.0%
Therefore, the apparent % BaSO4 is 97.2% and the true % BaSO4 is 94.0%.