(A) Explain the following reactions and write chemical equations involved:
(a) Wolff-Kishner reduction
(b) Etard reaction
(c) Cannizzaro reaction
To solve the problem, we need to explain the given reactions and provide their chemical equations.
1. Wolff-Kishner Reduction:
This reaction reduces aldehydes or ketones to hydrocarbons by treating their hydrazone derivatives with a strong base (e.g., KOH) and hydrazine (\( N_2H_4 \)) at high temperatures. It proceeds via the formation of a hydrazone intermediate, which decomposes to form a hydrocarbon and nitrogen gas.
General equation:
\( R_2C=O + N_2H_4 \xrightarrow{\text{KOH, heat}} R_2CH_2 + N_2 + H_2O \).
Example: Acetone to propane:
\( (CH_3)_2C=O + N_2H_4 \xrightarrow{\text{KOH, heat}} (CH_3)_2CH_2 + N_2 + H_2O \).
2. Etard Reaction:
This reaction oxidizes toluene or its derivatives (with an alkyl side chain) to aldehydes using chromyl chloride (\( CrO_2Cl_2 \)) in \( CCl_4 \), followed by hydrolysis. The reaction forms a complex intermediate that decomposes to the aldehyde upon hydrolysis.
General equation:
\( C_6H_5CH_3 + 2CrO_2Cl_2 \rightarrow C_6H_5CH_3 \cdot (CrO_2Cl_2)_2 \xrightarrow{\text{H}_2\text{O}} C_6H_5CHO + 2CrOCl + 2HCl \).
Example: Toluene to benzaldehyde:
\( C_6H_5CH_3 + 2CrO_2Cl_2 \xrightarrow{\text{CCl}_4} \text{Complex} \xrightarrow{\text{H}_2\text{O}} C_6H_5CHO \).
3. Cannizzaro Reaction:
Aldehydes lacking α-hydrogens (e.g., formaldehyde, benzaldehyde) undergo this reaction in the presence of a strong base (e.g., NaOH). One molecule is reduced to an alcohol, and another is oxidized to a carboxylic acid salt.
General equation:
\( 2RCHO + \text{OH}^- \rightarrow RCH_2OH + RCOO^- \).
Example: Benzaldehyde:
\( 2C_6H_5CHO + \text{NaOH} \rightarrow C_6H_5CH_2OH + C_6H_5COONa \).
Final Answer:
(a) Wolff-Kishner reduction converts aldehydes/ketones to hydrocarbons: \( R_2C=O + N_2H_4 \xrightarrow{\text{KOH, heat}} R_2CH_2 + N_2 + H_2O \).
(b) Etard reaction oxidizes toluene to benzaldehyde: \( C_6H_5CH_3 + 2CrO_2Cl_2 \xrightarrow{\text{H}_2\text{O}} C_6H_5CHO \).
(c) Cannizzaro reaction involves disproportionation of aldehydes: \( 2RCHO + \text{OH}^- \rightarrow RCH_2OH + RCOO^- \).
Write the reactions involved when D-glucose is treated with the following reagents: (a) HCN (b) Br\(_2\) water
Consider the following compounds: K$_2$O$_2$, H$_2$O$_2$, and H$_2$SO$_4$
The oxidation states of the underlined elements in them are, respectively:
A racing track is built around an elliptical ground whose equation is given by \[ 9x^2 + 16y^2 = 144 \] The width of the track is \(3\) m as shown. Based on the given information answer the following: 
(i) Express \(y\) as a function of \(x\) from the given equation of ellipse.
(ii) Integrate the function obtained in (i) with respect to \(x\).
(iii)(a) Find the area of the region enclosed within the elliptical ground excluding the track using integration.
OR
(iii)(b) Write the coordinates of the points \(P\) and \(Q\) where the outer edge of the track cuts \(x\)-axis and \(y\)-axis in first quadrant and find the area of triangle formed by points \(P,O,Q\).