Final answer:
To calculate the mass of scheelite with a trillion oxygen atoms, we divide the number of atoms by 4 times Avogadro's number to find the number of moles of scheelite, then multiply by the molar mass. None of the provided answer options match the calculated result, indicating a potential error.
Step-by-step explanation:
Calculating the Mass of Scheelite Containing a Trillion Oxygen Atoms
To calculate the mass of scheelite (CaWO4) that contains a trillion oxygen atoms (1.00 x 10^12), we begin by determining the molar amounts. Since scheelite has one calcium atom, one tungsten atom, and four oxygen atoms, each mole of scheelite will contain 4 moles of oxygen atoms. To find the number of moles of oxygen in a trillion atoms, we divide 1.00 x 10^12 by Avogadro's number (6.022 x 10^23 atoms/mol).
This calculation tells us how many moles of scheelite correspond to a trillion oxygen atoms:
1.00 x 10^12 atoms / (4 x 6.022 x 10^23 atoms/mol) = 4.15 x 10^-13 moles of CaWO4.
Next, we use the molar mass of scheelite to find the mass:
Molar mass of CaWO4 = 40.08 g/mol (Ca) + 183.84 g/mol (W) + 4 x 16.00 g/mol (O) = 287.92 g/mol.
Thus, the mass of scheelite is:
4.15 x 10^-13 moles of CaWO4 x 287.92 g/mol = 0.119 grams.
As none of the answer choices matches our calculation, it's possible there may have been a miscalculation or misinterpretation of the question.