To determine the correct skeletal formula for the given molecule, we need to match the molecular formula with its appropriate option:
1. Option: [tex]$C_3 BrCl$[/tex]
- This formula includes 3 carbon atoms, 1 bromine atom, and 1 chlorine atom.
- It lacks hydrogen atoms, so it does not match our given molecular formula [tex]\( C_3H_6BrCl \)[/tex].
2. Option: BrCl
- This formula includes 1 bromine atom and 1 chlorine atom.
- It does not include any carbon or hydrogen atoms, so it does not match our given molecular formula [tex]\( C_3H_6BrCl \)[/tex].
3. Option: [tex]$C_3H_6BrCl$[/tex]
- This formula includes 3 carbon atoms, 6 hydrogen atoms, 1 bromine atom, and 1 chlorine atom.
- This matches our given molecular formula [tex]\( C_3H_6BrCl \)[/tex] exactly.
4. Option: [tex]\( C_5BrCl \)[/tex]
- This formula includes 5 carbon atoms, 1 bromine atom, and 1 chlorine atom.
- It does not include any hydrogen atoms, so it does not match our given molecular formula [tex]\( C_3H_6BrCl \)[/tex].
After evaluating all the options, the one that correctly matches the given molecular formula [tex]\( C_3H_6BrCl \)[/tex] is:
Option 3: [tex]$C_3H_6BrCl$[/tex]
Therefore, the skeletal formula for the molecule is [tex]\( C_3H_6BrCl \)[/tex].
