In the preparation of quicklime from limestone, the reaction is
`CaCO_(3) (s) Leftrightarrow CaO+CO_(2) (g)`.
Experiments carried out between 850°C and 950°C led to a set of K, values fitting an empirical equation
`log K_(p)=7.282 -(8500)/T`
where T is the absolute temperature. If the reaction is carried out in quiet air, what temperature would be predicted from this equation for complete decomposition of the limestone?

Explanation

To determine the temperature at which complete decomposition of limestone (CaCO₃) occurs, we can follow these steps:

### Step 1: Understand the Reaction
The decomposition reaction of limestone is:
\[ \text{CaCO}_3 (s) \leftrightarrow \text{CaO} (s) + \text{CO}_2 (g) \]
In this reaction, calcium carbonate decomposes into calcium oxide and carbon dioxide gas.

### Step 2: Identify the Conditions for Complete Decomposition
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