To determine the correct chemical formula for butyne, which contains one carbon-carbon triple bond, we need to follow these steps:
1. Understand Alkyne General Formula:
Alkynes are hydrocarbons with at least one carbon-carbon triple bond. The general formula for an alkyne is [tex]\(C_nH_{2n-2}\)[/tex], where [tex]\(n\)[/tex] is the number of carbon atoms.
2. Identify the Number of Carbon Atoms:
For butyne, the prefix "but-" indicates that it has 4 carbon atoms. Therefore, [tex]\(n = 4\)[/tex].
3. Apply the General Formula:
Substitute [tex]\(n = 4\)[/tex] into the general formula for alkynes to find the number of hydrogen atoms.
[tex]\[
H = 2n - 2
\][/tex]
[tex]\[
H = 2 \times 4 - 2 = 8 - 2 = 6
\][/tex]
4. Write the Chemical Formula:
Replace [tex]\(n\)[/tex] with 4 and the calculated hydrogen atoms into the alkyne formula [tex]\(C_nH_{2n-2}\)[/tex]:
[tex]\[
\text{Chemical formula} = C_4H_6
\][/tex]
5. Match With Provided Options:
Let's compare our derived chemical formula [tex]\(C_4H_6\)[/tex] with the provided options:
A. [tex]\(C_4H_8\)[/tex]
B. [tex]\(C_4H_{10}\)[/tex]
C. [tex]\(C_4H_6\)[/tex]
Clearly, the correct option that matches our chemical formula for butyne (which contains one carbon-carbon triple bond) is:
C. [tex]\(C_4H_6\)[/tex]
Therefore, the correct answer is:
c. [tex]\(C_4H_6\)[/tex]
