Step 1: Decomposition Reaction of Calcium Carbonate
When calcium carbonate (CaCO\(_3\)) is heated, it undergoes a thermal decomposition reaction, producing calcium oxide (CaO) and carbon dioxide (CO\(_2\)). The oxygen gas is produced when the carbon dioxide is removed from the calcium carbonate. The reaction is as follows:
\[
\text{CaCO}_3 (s) \xrightarrow{\text{heat}} \text{CaO} (s) + \text{CO}_2 (g)
\]
Step 2: Analyzing Other Options
- C\(_6\)H\(_{12}\)O\(_6\) (glucose) does not release oxygen upon heating. It undergoes a process called fermentation or combustion but not oxygen release directly.
- Pb(NO\(_3\))\(_2\) decomposes on heating to give lead(II) oxide (PbO), nitrogen dioxide (NO\(_2\)), and oxygen, but it does not directly give oxygen gas under normal conditions.
- Na\(_2\)CO\(_3\) does not release oxygen upon heating; it is a stable compound that does not decompose to give oxygen.
Step 3: Conclusion
Thus, the correct answer is that oxygen gas is obtained by heating CaCO\(_3\) (calcium carbonate).
\[
\boxed{\text{CaCO}_3}
\]
Which of the following is an example of an addition reaction?
$PQ$ is a chord of length $4\ \text{cm}$ of a circle of radius $2.5\ \text{cm}$. The tangents at $P$ and $Q$ intersect at a point $T$. Find the length of $TP$.