Quick lime, CaO, is obtained by the burning of limestone, `CaCO_(3)`, in a lime kiln and the reaction is represented as :
`CaCO_(3)toCaO+CO_(2)`
What weight of limestone must be heated to obtain 112 kilograms of quick lime ? (Ca = 40, O = 16, C = 12)

Explanation

To solve the problem of how much limestone (CaCO₃) must be heated to obtain 112 kilograms of quick lime (CaO), we can follow these steps:

### Step 1: Write the balanced chemical equation.
The reaction for the decomposition of limestone (calcium carbonate) into quick lime (calcium oxide) and carbon dioxide is:
\[ \text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2 \]

### Step 2: Calculate the molar masses of the reactants and products.
- **Molar mass of CaCO₃:**
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