To solve the problem, we need to identify the alkene A with molecular formula C\(_6\)H\(_{10}\), and the compounds B and C formed upon its ozonolysis, given that B gives a positive Fehling’s test and reacts with iodine and NaOH, while C does not give a positive Fehling’s test but forms iodoform.
1. Understanding Ozonolysis:
An alkene with formula C\(_6\)H\(_{10}\) has two degrees of unsaturation, indicating one double bond (since it’s an alkene). Ozonolysis cleaves the double bond, forming carbonyl compounds (aldehydes or ketones). The products B and C together account for all six carbons and ten hydrogens, plus oxygen atoms added during ozonolysis.
2. Analyzing Compound B:
Compound B gives a positive Fehling’s test, indicating it is an aldehyde (since Fehling’s solution detects aldehydic groups, not ketones). Additionally, B reacts with iodine and NaOH, suggesting it undergoes the iodoform test, which is positive for compounds with a methyl ketone group ($ \text{CH}_3\text{CO}- $) or aldehydes like acetaldehyde ($ \text{CH}_3\text{CHO} $) that can be oxidized to such structures. Since B is an aldehyde, it is likely acetaldehyde ($ \text{CH}_3\text{CHO} $), which has the formula C\(_2\)H\(_4\)O and gives iodoform upon reaction due to its methyl group adjacent to the carbonyl.
3. Analyzing Compound C:
Compound C does not give a positive Fehling’s test, so it is not an aldehyde; it is likely a ketone. It forms iodoform, indicating it has a methyl ketone group ($ \text{CH}_3\text{CO}- $). A ketone with the iodoform reaction could be acetone ($ \text{CH}_3\text{COCH}_3 $), C\(_3\)H\(_6\)O, or a larger ketone with a methyl ketone moiety. Let’s denote C’s formula and test later.
4. Determining the Alkene A:
Since ozonolysis of A (C\(_6\)H\(_{10}\)) produces B and C, the sum of the carbons in B and C must be 6, and hydrogens must balance with oxygens added. Suppose B is acetaldehyde (C\(_2\)H\(_4\)O). Then, C must have 6 − 2 = 4 carbons. Let’s try C as a ketone with 4 carbons that gives iodoform. A likely candidate is butan-2-one ($ \text{CH}_3\text{COCH}_2\text{CH}_3 $), C\(_4\)H\(_8\)O, which has a methyl ketone group and forms iodoform.
Check the molecular balance:
- B: C\(_2\)H\(_4\)O (acetaldehyde)
- C: C\(_4\)H\(_8\)O (butan-2-one)
- Total: C\(_2\)H\(_4\)O + C\(_4\)H\(_8\)O = C\(_6\)H\(_12\)O\(_2\).
Ozonolysis adds two oxygens and two hydrogens (from reductive workup). The alkene C\(_6\)H\(_10}\) gains 2H and 2O, forming C\(_6\)H\(_12\)O\(_2\), which matches.
5. Reconstructing Alkene A:
Ozonolysis reverses to the alkene by joining the carbonyl carbons with a double bond. If B is $ \text{CH}_3\text{CHO} $ and C is $ \text{CH}_3\text{COCH}_2\text{CH}_3 $), the alkene’s double bond is between the carbonyl carbons:
- $ \text{CH}_3\text{CH}= $ (from B, losing O)
- $ =\text{C(O)CH}_2\text{CH}_3 $ (from C, losing O).
Removing the oxygens and forming the double bond gives $ \text{CH}_3\text{CH}=\text{C(O)CH}_2\text{CH}_3 $. However, we need the alkene, so the structure before ozonolysis is $ \text{CH}_3\text{CH}=\text{C(CH}_2\text{CH}_3\text{)}H $ or similar. Let’s write the alkene: $ \text{CH}_3\text{CH}=\text{C(CH}_3\text{)CH}_2\text{CH}_3 $ (2-methylpent-2-ene), C\(_6\)H\(_10\).
Verify ozonolysis:
- $ \text{CH}_3\text{CH}=\text{C(CH}_3\text{)CH}_2\text{CH}_3 $ → $ \text{CH}_3\text{CHO} $ + $ \text{CH}_3\text{COCH}_2\text{CH}_3 $.
This fits: $ \text{CH}_3\text{CHO} $ (B) and $ \text{CH}_3\text{COCH}_2\text{CH}_3 $ (C).
6. Verifying Properties:
- B ($ \text{CH}_3\text{CHO} $): Positive Fehling’s (aldehyde), positive iodoform (acetaldehyde forms iodoform).
- C ($ \text{CH}_3\text{COCH}_2\text{CH}_3 $): Negative Fehling’s (ketone), positive iodoform (methyl ketone).
- A: C\(_6\)H\(_10\), 2-methylpent-2-ene, yields B and C on ozonolysis.
Final Answer:
The compounds are:
- A: 2-methylpent-2-ene ($ \text{CH}_3\text{CH}=\text{C(CH}_3\text{)CH}_2\text{CH}_3 $)
- B: acetaldehyde ($ \text{CH}_3\text{CHO} $)
- C: butan-2-one ($ \text{CH}_3\text{COCH}_2\text{CH}_3 $).





Consider the following reaction of benzene. the percentage of oxygen is _______ %. (Nearest integer) 
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 \(P,O,Q\).