To determine the molecular formula of a three-carbon alkene that contains two double bonds, we can follow these steps:
1. Identify the General Formula for Alkenes:
Alkenes are hydrocarbons with at least one double bond between carbon atoms. The general formula for a simple alkene (with one double bond) is [tex]\(C_nH_{2n}\)[/tex], where [tex]\(n\)[/tex] is the number of carbon atoms.
2. Adjust for Additional Double Bonds:
Each double bond in an alkene reduces the number of hydrogen atoms by 2. Since alkenes already have one double bond as per their general formula, the addition of a second double bond will further reduce the hydrogen count by 2.
3. Calculate for the Given Number of Carbons (n=3):
Let's consider [tex]\(n = 3\)[/tex] (three carbon atoms):
- Start with the typical alkene formula: [tex]\(C_3H_{2 \times 3} = C_3H_6\)[/tex].
- Each additional double bond reduces the hydrogen count by 2. We have one extra double bond in this case.
- Therefore, subtract 2 hydrogen atoms from the original formula: [tex]\( H_6 - 2 = H_4\)[/tex].
Putting it all together, the molecular formula for a three-carbon alkene with two double bonds is [tex]\( \mathbf{C_3H_4} \)[/tex].
Therefore, the correct answer is:
A. [tex]\(C_3H_4\)[/tex]
