Answer :
The molar mass of trifluoroacetic acid (C2HF3O2) is 111.5 g/mol. Therefore, the maximum mass of the trifluoroacetic acid sample containing 66.9 g of fluorine can be calculated.
Trifluoroacetic acid, with the chemical formula C2HF3O2, contains 3 fluorine atoms per molecule. Given that the mass of fluorine in the sample is 66.9 g, we can calculate the mass of the entire trifluoroacetic acid sample.
The molar mass of trifluoroacetic acid can be calculated by summing the atomic masses of its constituent elements. The atomic masses of carbon (C), hydrogen (H), fluorine (F), and oxygen (O) are approximately 12.01 g/mol, 1.01 g/mol, 18.99 g/mol, and 16.00 g/mol, respectively.
Molar mass of trifluoroacetic acid:
2 * (molar mass of carbon) + 1 * (molar mass of hydrogen) + 3 * (molar mass of fluorine) + 2 * (molar mass of oxygen)
= 2 * 12.01 g/mol + 1 * 1.01 g/mol + 3 * 18.99 g/mol + 2 * 16.00 g/mol
= 40.03 g/mol
Next, we can calculate the number of moles of fluorine in the sample using its molar mass:
Number of moles of fluorine = Mass of fluorine / molar mass of fluorine
= 66.9 g / 18.99 g/mol
= 3.52 mol
Since there are 3 fluorine atoms in one molecule of trifluoroacetic acid, the number of moles of trifluoroacetic acid is also 3.52 mol.
Finally, we can calculate the mass of the trifluoroacetic acid sample using its molar mass:
Mass of trifluoroacetic acid sample = Number of moles of trifluoroacetic acid * molar mass of trifluoroacetic acid
= 3.52 mol * 40.03 g/mol
= 111.5 g
Therefore, the mass of the trifluoroacetic acid sample is 111.5 g.
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