Predict the major product of the reactions including stereochemistry.

trans$-2-$Pentene $+$ peroxyacetic acid in water

Propose a mechanism for the following reactions:

Propose a mechanism for the following reactions:

Propose a mechanism for the following reactions:

Identify final product in the following:

Identify ($\mathrm{X}$), ($\mathrm{Y}$) and ($\mathrm{Z}$) in the following synthetic scheme and write their structures.

Is the compound ($\mathrm{Z}$) optically active? Justify your answer.

Limonene (${\mathrm{C}}_{10}{\mathrm{H}}_{16}$) is a naturally occurring hydrocarbon. It absorbs $2$ molecules of hydrogen for each molecule during hydrogenation. On ozonolysis followed by zinc dust and steam hydrolysis, it gives one mole of formaldehyde and one mole of tricarbonyl compound of following structure.

Give probable structure of limonene if it has a six membered ring.