Saccharin (C7H5NO3S) is sometimes dispensed in tablet form. Ten tablets with total mass of 0.5800 g were dissolved in water. They were oxidized to convert all the sulfur to sulfate ion, which was precipitated by adding an excess of barium chloride solution. The mass of BaSO4 obtained was 0.5176 g.
What is the average mass of saccharin per tablet?
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To find the average mass of saccharin per tablet, we need to calculate the mass of saccharin in the 10 tablets and then divide it by the number of tablets.
First, we need to calculate the mass of sulfur in the BaSO4 obtained since all the sulfur came from the saccharin.
The molar mass of BaSO4 is:
1 Ba = 137.33 g/mol
1 S = 32.06 g/mol
4 O = 4 * 16.00 g/mol = 64.00 g/mol
So, the molar mass of BaSO4 is 137.33 g/mol + 32.06 g/mol + 64.00 g/mol = 233.39 g/mol.
Next, we can calculate the moles of BaSO4 obtained using its mass (0.5176 g) and its molar mass (233.39 g/mol):
moles of BaSO4 = mass of BaSO4 / molar mass of BaSO4
moles of BaSO4 = 0.5176 g / 233.39 g/mol
Now, since saccharin has a 1:1 ratio of sulfur to saccharin, the moles of sulfur in the BaSO4 obtained is equal to the moles of saccharin in the 10 tablets.
Now, we can calculate the mass of saccharin in the 10 tablets using the moles of saccharin.
mass of saccharin = moles of saccharin x molar mass of saccharin
To find the molar mass of saccharin (C7H5NO3S), we need to sum up the atomic masses of each element in the compound:
7 * Atomic mass of carbon + 5 * Atomic mass of hydrogen + Atomic mass of nitrogen + 3 * Atomic mass of oxygen + Atomic mass of sulfur
Using the atomic masses of each element:
Atomic mass of carbon = 12.01 g/mol
Atomic mass of hydrogen = 1.01 g/mol
Atomic mass of nitrogen = 14.01 g/mol
Atomic mass of oxygen = 16.00 g/mol
Atomic mass of sulfur = 32.06 g/mol
Now we can calculate the molar mass of saccharin:
molar mass of saccharin = 7 * 12.01 + 5 * 1.01 + 14.01 + 3 * 16.00 + 32.06
Then, we can calculate the moles of saccharin in the 10 tablets:
moles of saccharin = mass of saccharin / molar mass of saccharin
Finally, we can find the average mass of saccharin per tablet by dividing the mass of saccharin by the number of tablets (10):
average mass of saccharin per tablet = mass of saccharin / number of tablets
By following these steps, you can calculate the average mass of saccharin per tablet.