XeF2 molecules crystalize in the body-centred tetragonal system. In the crystal,
ID: 1471862 • Letter: X
Question
XeF2 molecules crystalize in the body-centred tetragonal system. In the crystal, the base of the unit cell is a square 433 pm on a side, and the height of the unit cell is 699 pm. Assume that molecules occupy positions in the unit cell. What is the density of XeF2? XeF2 molecules crystalize in the body-centred tetragonal system. In the crystal, the base of the unit cell is a square 433 pm on a side, and the height of the unit cell is 699 pm. Assume that molecules occupy positions in the unit cell. What is the density of XeF2?Explanation / Answer
Here We should consider each of the 2 atoms in the unit cell to be a molecule of XeF2.
The atomic weight of fluorine is 19.00 and that of xenon is 131.29. Hence, 2 molecules of XeF2 have a combined mass of 338.58 amu = 5.622 x 10^(-22) grams.
The volume of the unit cell is (0.433 nm)^2 (0.699 nm) = 0.13054 nm^3 = 0.13054 x 10^(-21) cm^3.
Hence the density of XeF2 is .5622/.13054 (g/cm^3) = 4.289 g/cm^3
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