Concept:
Hydrocarbons are organic compounds made up of carbon and hydrogen atoms only.
They are classified into:
• Alkanes
• Alkenes
• Alkynes
Alkynes are unsaturated hydrocarbons containing at least one triple bond between carbon atoms.
The general formula of alkynes is:
\[
C_nH_{2n-2}
\]
Step 1: Understanding alkynes.
The presence of a triple bond reduces the number of hydrogen atoms in the compound.
For example:
\[
\text{Ethyne} = C_2H_2
\]
Checking the formula:
\[
H = 2n - 2
\]
For \(n=2\):
\[
H = 2(2)-2
\]
\[
H = 4-2
\]
\[
H = 2
\]
Thus,
\[
C_2H_2
\]
which matches the alkyne formula.
Step 2: Comparing with other hydrocarbon formulas.
• Alkanes:
\[
C_nH_{2n+2}
\]
• Alkenes:
\[
C_nH_{2n}
\]
• Alkynes:
\[
C_nH_{2n-2}
\]
Therefore, the correct answer is:
\[
\boxed{(3)\ C_nH_{2n-2}}
\]