For a hydrocarbon with the molecular formula \( C_7H_{16} \), which is an alkane, we can determine the possible chain isomers by drawing all unique structures with the same molecular formula.
The chain isomers for \( C_7H_{16} \) are as follows:
Straight Chain (Heptane):
\[ \text{CH}_3 - \text{CH}_2 - \text{CH}_2 - \text{CH}_2 - \text{CH}_2 - \text{CH}_2 - \text{CH}_3 \]
Branched Chains (Various Isomers):
Each of these structures represents a distinct arrangement of carbon atoms, satisfying the molecular formula \( C_7H_{16} \).
Conclusion:
There are a total of 9 different chain isomers for \( C_7H_{16} \).