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Two important ores of metals are given b...

Two important ores of metals are given below
Malachite `CuCO_(3).Cu(OH)_(2).xH_(2)O`
Carnallite `KCl.MgCl_(2).yH_(2)O`
What is y-x?

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To solve the problem, we need to determine the values of \( x \) and \( y \) from the given chemical formulas of the ores Malachite and Carnallite. ### Step 1: Analyze the formula of Malachite The formula for Malachite is given as: \[ \text{CuCO}_3 \cdot \text{Cu(OH)}_2 \cdot x \text{H}_2\text{O} \] In this formula, \( x \) represents the number of water molecules associated with Malachite. ### Step 2: Determine the value of \( x \) It is mentioned in the video that Malachite does not contain any water of crystallization. Therefore, we can conclude: \[ x = 0 \] ### Step 3: Analyze the formula of Carnallite The formula for Carnallite is given as: \[ \text{KCl} \cdot \text{MgCl}_2 \cdot y \text{H}_2\text{O} \] In this formula, \( y \) represents the number of water molecules associated with Carnallite. ### Step 4: Determine the value of \( y \) The video states that the formula for Carnallite includes 6 water molecules. Thus, we have: \[ y = 6 \] ### Step 5: Calculate \( y - x \) Now that we have both values: - \( x = 0 \) - \( y = 6 \) We can calculate \( y - x \): \[ y - x = 6 - 0 = 6 \] ### Final Answer The value of \( y - x \) is: \[ \boxed{6} \]
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