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The oxidation number of carbon in Freon,...

The oxidation number of carbon in Freon, and hydroge cyanide is +x and +y. What is the value x+y.

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To find the values of \( x \) and \( y \), which represent the oxidation numbers of carbon in Freon and hydrogen cyanide respectively, we will analyze each compound step by step. ### Step 1: Determine the oxidation number of carbon in Freon 1. **Identify the formula of Freon**: The common formula for Freon is \( \text{CCl}_2\text{F}_2 \). 2. **Assign oxidation numbers to other elements**: - Chlorine (Cl) typically has an oxidation number of \(-1\). - Fluorine (F) has an oxidation number of \(-1\). 3. **Set up the equation**: - Let the oxidation number of carbon be \( x \). - The overall charge of the molecule is neutral, so we can write the equation: \[ x + 2(-1) + 2(-1) = 0 \] - Simplifying this gives: \[ x - 2 - 2 = 0 \implies x - 4 = 0 \implies x = +4 \] ### Step 2: Determine the oxidation number of carbon in hydrogen cyanide 1. **Identify the formula of hydrogen cyanide**: The formula is \( \text{HCN} \). 2. **Assign oxidation numbers to other elements**: - Hydrogen (H) has an oxidation number of \( +1 \). - Nitrogen (N) typically has an oxidation number of \(-3\). 3. **Set up the equation**: - Let the oxidation number of carbon be \( y \). - The overall charge of the molecule is neutral, so we can write the equation: \[ y + 1 + (-3) = 0 \] - Simplifying this gives: \[ y + 1 - 3 = 0 \implies y - 2 = 0 \implies y = +2 \] ### Step 3: Calculate \( x + y \) 1. **Add the values of \( x \) and \( y \)**: \[ x + y = 4 + 2 = 6 \] ### Final Answer The value of \( x + y \) is \( 6 \). ---
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