(a)
Let’s assume we have 100 g of the product.
60% of it is FeS, which means we have 60 g of FeS.
The remaining 40 g must be iron filings and sulphur that did not react.
From the ratio of 3:2, we know that for every 3 parts of iron filings, we need 2 parts of sulphur.
So, we can set up a proportion:
3 parts iron filings / 2 parts sulphur = x g iron filings / 40 - x g sulphur
Cross-multiplying:
3(40 - x) = 2x
120 - 3x = 2x
5x = 120
x = 24
So, we have 24 g of iron filings and 16 g of sulphur that did not react.
Therefore, the complete analysis of the product is:
FeS: 60 g
Fe (unreacted): 24 g
S (unreacted): 16 g
(b)
To determine the limiting reactant, we need to calculate the theoretical yield of FeS based on each reactant.
From the balanced chemical equation:
3Fe + 2S -> FeS3
Molar mass of Fe: 55.85 g/mol
Molar mass of S: 32.06 g/mol
Theoretical yield based on iron filings:
3 mol Fe x (1 mol FeS / 1 mol Fe) x (87.91 g FeS / 1 mol FeS) = 263.73 g FeS
Theoretical yield based on sulphur:
2 mol S x (1 mol FeS / 1 mol S) x (87.91 g FeS / 1 mol FeS) = 175.82 g FeS
Since we only obtained 60 g of FeS, we can see that iron filings are the limiting reactant.
To calculate the percentage of excess sulphur:
Amount of sulphur used: 2/5 x 100 g = 40 g
Amount of sulphur that did not react: 16 g
Excess sulphur: 16 g / 40 g x 100% = 40%
(c)
The degree of completion of the reaction can be calculated by comparing the amount of FeS obtained to the theoretical yield based on the limiting reactant.
The theoretical yield based on iron filings is 263.73 g FeS.
The actual yield is 60 g FeS.
Degree of completion = actual yield / theoretical yield x 100%
Degree of completion = 60 g / 263.73 g x 100% = 22.76%
Therefore, the reaction is only about 22.76% complete.
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