Silicon can be obtained by calcining a mixture of sand (sio2) with magnesium, determine the mass

Silicon can be obtained by calcining a mixture of sand (sio2) with magnesium, determine the mass of magnesium that will be required to obtain 5.6 g of silicon.

Data: mSi is the required mass of silicon (mSi = 5.6 g).

Const: MSi – molar mass of silicon (MSi = 28.086 g / mol); MMg is the molar mass of magnesium (MMg = 24.3 g / mol).

1) Amount of the obtained silicon substance: νSi = mSi / MSi = 5.6 / 28.086 ≈ 0.2 mol.

2) The reaction level: SiO2 (silicon oxide) + 2Mg (magnesium) → 1000 ºС Si (silicon) + 2MgO (magnesium oxide).

3) Amount of magnesium taken: νMg / νSi = 2/1 and νMg = 2 * νSi = 2 * 0.2 = 0.4 mol.

4) The required mass of magnesium: mMg = νMg * MMg = 0.4 * 24.3 = 9.72 g.

Answer: To obtain 5.6 g of silicon, you will need to spend 9.72 g of magnesium.



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