How many total ketones are possible for the molecular formula $C_5H_{10}O$?

Provide the $IUPAC$ name and structure for the following compounds:
$(i)$ Propanone
$(ii)$ Butanone
$(iii)$ Hexan$-3-$one
$(iv)$ $2,4-$dimethylpentan$-3-$one
$(v)$ Pentan$-3-$one
$(vi)$ $2-$methylcyclohexanone
$(vii)$ $4-$methylpent$-3-$en$-2-$one
$(viii)$ Benzophenone
$(ix)$ Acetophenone
$(x)$ $3-$methylbutan$-2-$one
$(xi)$ $5-$hydroxy$-5-$methylhexan$-3-$one
$(xii)$ $3-$oxobutanoic acid
$(xiii)$ $3,3-$dimethylheptan$-2,6-$dione.

Identify the functional group present in Vanillin.

State True or False for the following statements:
$(i)$ Acetone is a propanone and there is an amide group in it.
$(ii)$ Acetone is dimethyl ketone.
$(iii)$ The formula of acetone is $CH_3COCH_3$.
$(iv)$ Acetone possesses a carbonyl group.

In aldehydes and ketones,the carbon atom of the carbonyl group is

What is the formula of Acrolein?