`(A) underset(523K)overset(Al_(2)O_(3))(rarr)(B)underset((i)AgOH)overset((ii)HI)(rarr)(C ) underset(423K)overset(Al_(2)O_(3))(rarr)(B)underset((ii)H_(2)O_(2),OH^(-))overset((i)B_(2)H_(6))(rarr)(A)`
In the above reactions scheme (A) and (C ) are isomers. (B) has a fomula of `C_(5)H_(10)` , which can also be obtained from the product of the reactions of` CH_(3)CH_(2)MgBrCO`. GIve structures of (A),(B) and `(C )`.
So, `underset((A))(CH_(3)-overset(CH_(3))overset(|)(C)H-underset(OH)underset(|)(C)H-CH_(3))underset(523K)overset(Al_(2)O_(3))(rarr)underset((B)C_(5)H_(10))(CH_(3)-overset(CH_(3))overset(|)(C)=CH-CH_(3))underset((ii)AgOH)overset((i)HI)(rarr)underset((C))(CH_(3)-underset(OH)underset(|)overset(CH_(3))overset(|)(C)-CH_(2)CH_(3))underset(423K,(-H_(2)O))overset(Al_(2)O_(3))(rarr)underset((B))(CH_(3)-overset(CH_(3))overset(|)(C)=CHCH_(3))underset((ii)H_(2)O_(2),OH^(-))overset((i)B_(2)H_(6))(rarr) CH_(3)-overset(CH_(3))overset(|)(C)H-underset(OH)underset(|)(C)H-CH_(3)`

Explanation

An alcohol `underset((A))("An alcohol")underset(523K)overset(Al_(2)O_(3))(rarr)underset((B)C_(5)H_(10))("Alkene")underset((ii)AgOH)overset((i)HI)(rarr)(C )`
`underset((C ))("Alcohol")underset(423K)overset(Al_(2)O_(3))(rarr)underset((B))("Alkene")underset((ii)H_(2)O_(2),OH^(-))overset((i)B_(2)H_(6))(rarr)
underset((A))("Alcohol")`