Mole Concept and Some Basic Concepts of ChemistryhardNUMERICAL

Exactly of an unknown active metal reacts completely with halogens to form exactly of its correspondMole Concept and Some Basic Concepts of Chemistry Chemistry Question

Question

Exactly $5.6\text{ g}$ of an unknown active metal reacts completely with halogens to form exactly $12.7\text{ g}$ of its corresponding metal chloride salt. What is the precise equivalent weight of this unknown metal?

Answer: 28

💡 Solution & Explanation

Step 1: Establish the mass relationship. Mass of the pure metal ($W_M$) = $5.6\text{ g}$. Mass of the metal chloride ($W_{MCl}$) = $12.7\text{ g}$. Therefore, mass of the combined Chlorine ($W_{Cl}$) = $12.7 - 5.6 = 7.1\text{ g}$. Step 2: Apply the fundamental definition of Equivalent Weight. The equivalent weight of a metal is the mass of the metal that chemically combines with exactly one equivalent mass ($35.5\text{ g}$) of Chlorine. Step 3: Calculate the equivalent weight ($E$). $E = \left(\frac{W_M}{W_{Cl}}\right) \times 35.5 = \left(\frac{5.6}{7.1}\right) \times 35.5$. $E = 0.7887 \times 35.5 = 28$. Alternatively, using Equivalents: $5.6/E = 12.7/(E + 35.5) \Rightarrow E = 28$.

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