Convert the following:
(i) acetaldehyde to isopropyl alcohol.
(ii) cumene to phenol.
(iii) anisole to phenol. Write two uses of neon.
Acetaldehyde \( (CH_3CHO) \) can be converted to isopropyl alcohol \( (CH_3CH(OH)CH_3) \) through the following steps:
1. Aldol Condensation: \[ 2CH_3CHO \xrightarrow{\text{Dil. NaOH}} CH_3CH(OH)CH_2CHO \]
2. Catalytic Hydrogenation: \[ CH_3CH(OH)CH_2CHO + H_2 \xrightarrow{\text{Ni, Heat}} CH_3CH(OH)CH_3 \] Thus, acetaldehyde undergoes aldol condensation followed by hydrogenation to yield isopropyl alcohol.
Cumene \( (C_6H_5CH(CH_3)_2) \) is converted to phenol by the cumene hydroperoxide process:
1. Oxidation of Cumene: \[ C_6H_5CH(CH_3)_2 + O_2 \rightarrow C_6H_5C(CH_3)_2OOH \]
2. Acidic Hydrolysis: \[ C_6H_5C(CH_3)_2OOH \xrightarrow{H^+} C_6H_5OH + CH_3COCH_3 \] Thus, cumene is oxidized to cumene hydroperoxide, which undergoes acid hydrolysis to give phenol and acetone as a byproduct.
Anisole to Phenol. Write two uses of neon.
Anisole \( (C_6H_5OCH_3) \) can be converted to phenol \( (C_6H_5OH) \) via hydrolysis using hydrobromic acid: \[ C_6H_5OCH_3 + HBr \xrightarrow{\text{Heat}} C_6H_5OH + CH_3Br \]
Neon (Ne) is a noble gas with various applications. Two important uses include:
1. Illumination: Used in neon lights and advertising signs.
2. Cryogenics: Used in high-performance cooling systems, especially in refrigeration.
Werner’s coordination theory in 1893 was the first attempt to explain the bonding in coordination complexes. It must be remembered that this theory was put forward before the electron had been discovered by J.J. Thomson in 1897, and before the electronic theory of valency. Werner did not have any of the modern instrumental techniques and all his studies were made using simple experimental techniques. Werner was able to explain the nature of bonding in complexes and he concluded that in complexes, the metal shows two different sorts of valency: primary and secondary. Primary valences are normally ionisable whereas secondary valences are non-ionisable.
Derive an expression for maximum speed of a vehicle moving along a horizontal circular track.
If the mean and variance of a binomial distribution are \( 18 \) and \( 12 \) respectively, then the value of \( n \) is __________.