QuestionFind the number of valence electrons in the cyclohexylidene ion $C_{6}H_{10}^{2+}$ .

Studdy Solution

STEP 1

Assumptions1. The cyclohexylidene ion is $\mathrm{C}_{6} \mathrm{H}_{10}^{+}$ . The number of valence electrons for Carbon (C) is43. The number of valence electrons for Hydrogen (H) is14. The ion has a charge of+, which means it has lost electrons

STEP 2

First, we need to calculate the total number of valence electrons in the neutral molecule. We can do this by multiplying the number of valence electrons for each atom by the number of that atom in the molecule.
$Total\, valence\, electrons = (Number\, of\, C\, atoms \\times Valence\, electrons\, of\, C) + (Number\, of\, H\, atoms \\times Valence\, electrons\, of\, H)$

STEP 3

Now, plug in the given values for the number of Carbon and Hydrogen atoms and their respective valence electrons to calculate the total valence electrons.
$Total\, valence\, electrons = (6 \\times) + (10 \\times1)$

STEP 4

Calculate the total valence electrons in the neutral molecule.
$Total\, valence\, electrons =24 +10 =34$

STEP 5

Now that we have the total valence electrons in the neutral molecule, we need to account for the2+ charge of the ion. Since a2+ charge means the ion has lost2 electrons, we subtract2 from the total valence electrons.
$Total\, valence\, electrons\, in\, ion = Total\, valence\, electrons\, in\, neutral\, molecule -2$

STEP 6

Plug in the values for the total valence electrons in the neutral molecule and the charge to calculate the total valence electrons in the ion.
$Total\, valence\, electrons\, in\, ion =34 -2$

STEP 7

Calculate the total valence electrons in the ion.
$Total\, valence\, electrons\, in\, ion =34 -2 =32$ The cyclohexylidene ion $\mathrm{C}_{6} \mathrm{H}_{10}^{2+}$ has32 valence electrons.

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