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2.0 g of a sample contains mixture of SiO2 and Fe2O3. On very strong heating, it leaves a residue weighing 1.96 g.

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2.0 g of a sample contains mixture of SiO2 and Fe2O3. On very strong heating, it leaves a residue weighing 1.96 g. The reaction responsible for loss of mass is given below

Fe2O3(s) → Fe2O4(s) + O2(g), (unbalance equation)

What is the percentage by mass of SiO2 in original sample?

(a) 100 %

(b) 20 %

(c) 40 %

(d) 60 %

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Correct answer: (c) 40 %

Explanation:

3Fe2O3(s) → 2Fe2O4(s) + \(\frac{1}{2}\)O2(g)

480 g Fe2O3 provide 16 g O2. For loss of 0.04g

O2 → 0.04 x \(\frac{480}{16}\) = 1.2 g Fe2O3

% by mass of SiO2 = \(\frac{0.8}{2.0}\) x 100 = 40%

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