To solve this problem, we first need to understand what happens during the chlorination of propane under photochemical conditions and then analyze the structural isomers obtained from the further chlorination of the optically active dichloro derivative.
Step 1: Chlorination of Propane
Propane (C₃H₈) on chlorination mainly forms two monochloro derivatives:
When these monochloro products undergo further chlorination, they produce dichloro derivatives. One such dichloro derivative is optically active, which occurs when both chlorine atoms attach to the central carbon, resulting in a chiral center. This is 2,2-dichloropropane.
Step 2: Further Chlorination of 2,2-Dichloropropane
2,2-Dichloropropane will undergo further chlorination to form several trichloro derivatives. The possible sites for additional chlorination are:
Step 3: Possible Trichloro Isomers
The three possible trichloro structural isomers are:
Hence, among the options given, the correct number of structural isomers that "x", 2,2-dichloropropane, can achieve by further chlorination is 3.
The correct answer is therefore:
3
To determine the number of trichloro derivatives from optically active 1,2-dichloropropane:
1. Identification of Compound "x":
The optically active dichloro product must be 1,2-dichloropropane (CH3CHClCH2Cl) as it contains a chiral center at C-2.
2. Possible Trichloro Products:
Chlorination can occur at three distinct positions:
3. Isomer Count:
These substitutions yield three distinct structural isomers. No additional unique structures are possible through single hydrogen substitutions on this compound.
The number of possible trichloro structural isomers is 3.
Which one of the following graphs accurately represents the plot of partial pressure of CS₂ vs its mole fraction in a mixture of acetone and CS₂ at constant temperature?

Consider the following reaction sequence: 
Given: Compound (x) has percentage composition \(76.6%\ \text{C}\), \(6.38%\ \text{H}\) and vapour density \(=47\). Compound (y) develops a characteristic colour with neutral \(\mathrm{FeCl_3}\) solution. Identify the {INCORRECT statement.}
Consider the following reactions giving major product. Identify the correct reaction. 
Consider an A.P. $a_1,a_2,\ldots,a_n$; $a_1>0$. If $a_2-a_1=-\dfrac{3}{4}$, $a_n=\dfrac{1}{4}a_1$, and \[ \sum_{i=1}^{n} a_i=\frac{525}{2}, \] then $\sum_{i=1}^{17} a_i$ is equal to
