Step 1: Understanding the structure of propane \( C_3H_8 \).
Propane consists of three carbon (\(C\)) atoms and eight hydrogen (\(H\)) atoms. The structure of propane is as follows:
\[
CH_3 - CH_2 - CH_3
\]
Step 2: Identifying the covalent bonds.
1. Each carbon forms a single bond with other carbon atoms.
2. Each carbon also forms single bonds with hydrogen atoms.
3. Carbon always forms four covalent bonds (either with carbon or hydrogen).
Step 3: Counting the bonds.
- There are 2 carbon-carbon (\(C-C\)) single bonds.
- There are 8 carbon-hydrogen (\(C-H\)) single bonds.
\[
\text{Total covalent bonds} = 2 (C-C) + 8 (C-H) = 10.
\]
Thus, the total number of covalent bonds in propane is 10.