how would I determine the hybridization of the carbon atom if it has 3 single bonds with hydrogen and no free electrons?

Do I draw this out??

Is this a carbon ion? Carbon is 1s2 2s2 2p2. If we unpair the 2s2 to make 1s2 2s1 2p1 2p1 2p1 and combine a H atom with each of the 3p, for example, it seems to me 1 electron is left over. Thus, if it has no free electrons then C must be charged 1+. Am I missing something? Or interpreting your question incorrectly?

That's fine. I get it.

Thanks Dr.Bob =)

To determine the hybridization of a carbon atom, you can follow a simple approach:

1. Identify the central atom: In this case, the central atom is carbon.

2. Count the number of sigma bonds: Carbon is bonded to three hydrogen atoms through sigma bonds.

3. Determine the total number of sigma bonds and lone pairs around the central atom: In this scenario, three sigma bonds are present with no lone pairs.

4. Use the following table to determine the hybridization:
- 2 sigma bonds: sp hybridization
- 3 sigma bonds: sp2 hybridization
- 4 sigma bonds: sp3 hybridization

Since the carbon atom is bonded to three hydrogen atoms, it has three sigma bonds. Hence, it undergoes sp2 hybridization.

While drawing the Lewis structure to visualize the hybridization can be helpful, it is not necessary in this case. You can directly determine the hybridization based on the number of sigma bonds the central atom forms.