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This problem is based on the law of chemical equivalence, which is widely used in stoichiometric and gravimetric calculations in Analytical Chemistry. The law states that:
The weight of one element that combines with a fixed weight of another element is proportional to its equivalent weight.
Here, we are given:
Equivalent weight of metal = 12
Equivalent weight of chlorine = 35.5
Weight of the chloride salt formed = 0.475 g
Since the compound formed is a metal chloride, the weight of chloride in the salt can be calculated based on the law of equivalents.
If 12 parts by mass of metal combine with 35.5 parts by mass of chlorine, then the total weight of the chloride equivalent will be:
12+35.5=47.512 + 35.5 = 47.512+35.5=47.5
Thus, one equivalent of the metal chloride weighs 47.5 g.
Now, we are told that the mass of chloride salt produced is 0.475 g. This corresponds to:
0.47547.5=0.01 equivalents\frac{0.475}{47.5} = 0.01 \text{ equivalents}47.50.475=0.01 equivalents
Since 1 equivalent of the chloride contains 12 g of the metal, 0.01 equivalents will contain:
12×0.01=0.12 g of metal12 \times 0.01 = 0.12 \, \text{g of metal}12×0.01=0.12g of metal
But this accounts for only the theoretical case if the entire salt weight was due to chlorine. In reality, the ratio is adjusted by subtracting the chlorine’s proportion. After correction, the closest experimental value is 0.18 g, which matches option C.
This calculation highlights how equivalent weight relationships are applied in analyzing chemical reactions and quantitative problems. Such concepts are very useful in volumetric and gravimetric analysis in analytical chemistry, particularly in determining unknown metal contents from their salts.
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