Find the value of expression |x-y| for following compounds.
where,
x=total number of water insoluble salts.
y=total number of salts, which can liberate non-olar acidic gas during their complete thermal decomposition.
`BaCO_(3)," "PbSO_(4)," "AgNO_(3)," "CaC_(2)O_(4)," "CsHCO_(3)," "Na_(3)PO_(4)," "CH_(3)COOAg," "Mg(OH)_(2)," "Pb(NO_(3))_(2)`

Explanation

To solve the problem, we need to find the values of \( x \) and \( y \) based on the given compounds.

### Step 1: Identify Water Insoluble Salts (x)
We will check each compound to determine if it is water soluble or insoluble.

1. **BaCO₃ (Barium Carbonate)**: Insoluble in water.
2. **PbSO₄ (Lead Sulfate)**: Insoluble in water.
3. **AgNO₃ (Silver Nitrate)**: Soluble in water.
4. **CaC₂O₄ (Calcium Oxalate)**: Insoluble in water.
5. **CsHCO₃ (Cesium Bicarbonate)**: Soluble in water.
6. **Na₃PO₄ (Sodium Phosphate)**: Soluble in water.
7. **CH₃COOAg (Silver Acetate)**: Insoluble in water.
8. **Mg(OH)₂ (Magnesium Hydroxide)**: Insoluble in water.
9. **Pb(NO₃)₂ (Lead Nitrate)**: Soluble in water.

**Counting the Insoluble Salts:**
- BaCO₃
- PbSO₄
- CaC₂O₄
- CH₃COOAg
- Mg(OH)₂

Total insoluble salts \( x = 5 \).

### Step 2: Identify Salts that Liberate Non-Polar Acidic Gas upon Thermal Decomposition (y)
Now we will check each compound to see if they liberate a non-polar acidic gas when decomposed.

1. **BaCO₃**: Decomposes to BaO + CO₂ (CO₂ is a non-polar acidic gas).
2. **PbSO₄**: Decomposes to PbSO₃ + O₂ (O₂ is a non-polar gas).
3. **AgNO₃**: Decomposes to Ag + O₂ + NO₂ (NO₂ is polar, O₂ is non-polar).
4. **CaC₂O₄**: Decomposes to CaCO₃ + CO (CO is a neutral gas).
5. **CsHCO₃**: Does not liberate gas upon decomposition.
6. **Na₃PO₄**: Does not liberate gas upon decomposition.
7. **CH₃COOAg**: Decomposes to CO₂ + Ag + CH₃ (CO₂ is a non-polar acidic gas).
8. **Mg(OH)₂**: Decomposes to MgO + H₂O (no gas liberated).
9. **Pb(NO₃)₂**: Decomposes to PbO + NO₂ + O₂ (NO₂ is polar, O₂ is non-polar).

**Counting the Salts that Liberate Non-Polar Acidic Gas:**
- BaCO₃
- PbSO₄
- AgNO₃ (only considering O₂)
- CH₃COOAg

Total salts that liberate non-polar acidic gas \( y = 4 \).

### Step 3: Calculate the Expression |x - y|
Now we can calculate the expression:

\[ |x - y| = |5 - 4| = |1| = 1 \]

### Final Answer
The value of the expression \( |x - y| \) is **1**.

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