The size of a coiled polymer chain in a dilute solution is \( R_G \) in a good solvent, \( R_I \) in an ideal solvent and \( R_P \) in a poor solvent. Select the correct ordering of sizes.
Show Hint
- \( R_G > R_I > R_P \)
- \( R_G < R_I < R_P \)
- \( R_P > R_G > R_I \)
- \( R_P < R_G < R_I \)
The Correct Option is A
Solution and Explanation
Step 1: Behavior of polymer chains in different solvents.
In a good solvent, polymer chains expand due to favorable interactions with the solvent, resulting in a larger coil size (\( R_G \)). In an ideal solvent, the polymer chains neither expand nor contract significantly, leading to an intermediate coil size (\( R_I \)). In a poor solvent, the polymer chains contract due to unfavorable solvent-polymer interactions, resulting in the smallest coil size (\( R_P \)).
Step 2: Conclusion.
Thus, the correct ordering of the sizes is \( R_G > R_I > R_P \), as the polymer coil is largest in a good solvent, intermediate in an ideal solvent, and smallest in a poor solvent.
Final Answer: (A) \( R_G > R_I > R_P \)
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