QuestionJuly 6, 2025

Which of the following molecular formulas is consistent with the formula for a molecule containing one alkyne and no other degrees of unsaturation? Select the single best answer. C_(10)H_(19) C_(10)H_(22) C_(10)H_(20) C_(10)H_(18)

Which of the following molecular formulas is consistent with the formula for a molecule containing one alkyne and no other degrees of unsaturation? Select the single best answer. C_(10)H_(19) C_(10)H_(22) C_(10)H_(20) C_(10)H_(18)
Which of the following molecular formulas is consistent with the formula for a molecule containing one alkyne and no other degrees of unsaturation? Select
the single best answer.
C_(10)H_(19)
C_(10)H_(22)
C_(10)H_(20)
C_(10)H_(18)

Solution
4.5(200 votes)

Answer

C_{10}H_{18} Explanation 1. Determine the Degree of Unsaturation An alkyne has one triple bond, contributing 2 degrees of unsaturation. The formula for calculating degrees of unsaturation is **DU = \frac{2C + 2 - H}{2}**. 2. Calculate for Each Option For C_{10}H_{19}: DU = \frac{2(10) + 2 - 19}{2} = 1.5 (not possible) For C_{10}H_{22}: DU = \frac{2(10) + 2 - 22}{2} = 0 (no unsaturation) For C_{10}H_{20}: DU = \frac{2(10) + 2 - 20}{2} = 1 (one degree of unsaturation) For C_{10}H_{18}: DU = \frac{2(10) + 2 - 18}{2} = 2 (two degrees of unsaturation) 3. Identify the Correct Formula An alkyne requires exactly 2 degrees of unsaturation.

Explanation

1. Determine the Degree of Unsaturation<br /> An alkyne has one triple bond, contributing 2 degrees of unsaturation. The formula for calculating degrees of unsaturation is **$DU = \frac{2C + 2 - H}{2}$**.<br />2. Calculate for Each Option<br /> For $C_{10}H_{19}$: $DU = \frac{2(10) + 2 - 19}{2} = 1.5$ (not possible)<br /> For $C_{10}H_{22}$: $DU = \frac{2(10) + 2 - 22}{2} = 0$ (no unsaturation)<br /> For $C_{10}H_{20}$: $DU = \frac{2(10) + 2 - 20}{2} = 1$ (one degree of unsaturation)<br /> For $C_{10}H_{18}$: $DU = \frac{2(10) + 2 - 18}{2} = 2$ (two degrees of unsaturation)<br />3. Identify the Correct Formula<br /> An alkyne requires exactly 2 degrees of unsaturation.
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