Which of the following best describes the correct Lewis structure for (also written as )?
A
A three-carbon ring with alternating single and double bonds, each carbon attached to one hydrogen.
B
A three-carbon chain with a triple bond between the first and second carbon, and a single bond between the second and third carbon; the terminal carbon has three hydrogens.
C
A three-carbon chain with all single bonds between carbons, each carbon having the appropriate number of hydrogens to complete an octet.
D
A three-carbon chain with a double bond between the first and second carbon, and a double bond between the second and third carbon; each terminal carbon has two hydrogens, and the central carbon has no hydrogens.
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1
Identify the molecular formula given: C\_3H\_4. This indicates there are 3 carbon atoms and 4 hydrogen atoms in the molecule.
Recall that the degree of unsaturation (or double bond equivalents) can be calculated using the formula: \(\text{DBE} = C - \frac{H}{2} + \frac{N}{2} + 1\), where C is the number of carbons, H is the number of hydrogens, and N is the number of nitrogens (which is zero here). For C\_3H\_4, calculate the DBE to understand how many rings or multiple bonds are present.
Use the DBE value to determine the possible bonding framework: a DBE of 2 suggests either two double bonds, one triple bond, or one ring plus one double bond.
Analyze each structural option in the problem: check if the number of hydrogens attached to each carbon satisfies the octet rule and matches the molecular formula C\_3H\_4, considering the bonding pattern (single, double, or triple bonds) and the presence or absence of rings.
Confirm that the correct Lewis structure corresponds to a three-carbon chain with two double bonds (one between C1 and C2, and another between C2 and C3), where each terminal carbon has two hydrogens and the central carbon has none, satisfying both the molecular formula and the octet rule.