Question

question 16 0.5 pts a molecule has with the formula c_nh_2n+3n will have the same dou as a compound with which of the following formulas? c_nh_2n c_nh_2n+2o c_nh_n

Explanation:

Step1: Recall DOU formula

The degree - of - unsaturation (DOU) formula for a compound with formula $C_{x}H_{y}N_{z}O_{w}$ is $DOU=\frac{2x + 2+z - y}{2}$. For the compound $C_{n}H_{2n + 3}N$, $x = n$, $y=2n + 3$, $z = 1$, $w = 0$. Then $DOU=\frac{2n+2 + 1-(2n + 3)}{2}=\frac{2n+3 - 2n - 3}{2}=0$.

Step2: Calculate DOU for each option

Option 1: For $C_{n}H_{2n}$

Using the DOU formula with $x = n$, $y = 2n$, $z = 0$, $w = 0$. $DOU=\frac{2n+2-2n}{2}=1$.

Option 2: For $C_{n}H_{2n + 2}O$

Using the DOU formula with $x = n$, $y = 2n + 2$, $z = 0$, $w = 1$. Since oxygen does not affect the DOU calculation, $DOU=\frac{2n+2-2n - 2}{2}=0$.

Option 3: For $C_{n}H_{n}$

Using the DOU formula with $x = n$, $y = n$, $z = 0$, $w = 0$. $DOU=\frac{2n+2 - n}{2}=\frac{n + 2}{2}$.

Answer:

$C_{n}H_{2n+2}O$