The reaction of liquid silicon tetrachloride and magnesium forming silicon and magnesium chloride. This is one step in the preparation of ultrapure silicon used in the semiconductor industry.
(a)
SiCl4 (s) + 2 Mg (s) -----------> Si (s) + 2 MgCl2 (s)
(b)
Mass of Si = 0.130 kg = 130 g.
Molar mass of Si = 28.1 g/mol
Moles of Si = mass / molar mass = 130 / 28.1 = 4.63 mol
From the balanced equation,
1 mol o fSi is obtained from 1 mol of SiCl4
Then, 4.63 mol of Si is obtained from 4.63 mol of SiCl4
Mass of SiCl4 = moles * molar mass = 4.63 * 170.1 = 788 g. = 0.788 kg. of SiCl4 is need.
From the balanced equation,
1 mol of Si is obtained from 2 mol of Mg
Then,
4.63 mol of Si is obtained from 4.63 * 2 = 9.26 mol of Mg
Mass of Mg = 9.26 * 24 = 222. g. = 0.222 kg. of Mg is neded.
(c)
Since actual yield is 93.0 %,
Mass of SiCl4 = 0.788 * 100 / 93 = 0.847 kg.
Mass of Mg = 0.222 * 100 / 93 = 0.239 kg.
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