Stereoisomers of 4-(1-propenyl) cyclohexane

Stereoisomers are isomers that have the same molecular formula and connectivity of atoms, but differ in the spatial arrangement of atoms. The compound 4-(1-propenyl) cyclohexane has a double bond between the fourth and fifth carbon atoms of the cyclohexane ring, and a propenyl group attached to the fourth carbon atom.

To determine the number of stereoisomers of this compound, we need to consider the possible arrangements of atoms around the double bond and the propenyl group.

1. Geometric isomers around the double bond: The double bond in the cyclohexane ring can exist in either a cis or trans configuration, resulting in two geometric isomers.

2. Stereoisomers due to chiral centers: A chiral center is a carbon atom that is attached to four different groups. The cyclohexane ring has six carbon atoms, but only one of them, the fourth carbon atom, is attached to the propenyl group. Therefore, the fourth carbon atom can be a chiral center, with two possible arrangements of the propenyl group around it.

Combining these two factors, we can calculate the total number of stereoisomers:

- Two geometric isomers due to the double bond
- Two stereoisomers due to the chiral center in the cyclohexane ring

Therefore, the total number of stereoisomers of 4-(1-propenyl) cyclohexane is 2 x 2 = 4.

Therefore, the correct answer is option 'C' which is 4.