Question:

Match List-I with List-II:
\begin{tabular{ll} List-I (Polymeric material for Packaging) & List-II (Relative ratio of permeability of CO\(_2\) to O\(_2\))
(A) Low-density Polyethylene & (I) 6.4
(B) Silicon rubber & (II) 2.9
(C) Cast Polypropylene & (III) 4.6
(D) High-density Polyethylene & (IV) 3.3

Choose the correct answer from the options given below:

Show Hint

Silicon rubber is famous for having the highest gas permeability and the highest $P_{\text{CO}_2} / P_{\text{O}_2}$ ratio (6.4) among common polymeric packaging materials.
Matching (B) with (I) immediately identifies the correct option.
  • (A) - (II), (B) - (IV), (C) - (I), (D) - (III)
  • (A) - (III), (B) - (II), (C) - (IV), (D) - (I)
  • (A) - (I), (B) - (III), (C) - (IV), (D) - (II)
  • (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
Show Solution
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Concept:
Gas permeability of polymer packaging films is a critical factor in modified atmosphere packaging (MAP) and shelf-life extension.
The relative ratio of carbon dioxide permeability to oxygen permeability ($P_{\text{CO}_2} / P_{\text{O}_2}$) is characteristic for each polymer material.

Step 2: Detailed Explanation:

Let us correlate the polymer materials with their typical $P_{\text{CO}_2} / P_{\text{O}_2}$ ratios:
- (A) Low-density Polyethylene (LDPE):
LDPE has a relative permeability ratio of $P_{\text{CO}_2} / P_{\text{O}_2}$ of approximately $3.3$.
Thus, (A) matches with (IV).
- (B) Silicon rubber:
Silicon rubber is highly permeable to gases and has a very high relative ratio of carbon dioxide to oxygen permeability, typically around $6.4$.
Thus, (B) matches with (I).
- (C) Cast Polypropylene (CPP):
Cast polypropylene is more crystalline and has a lower relative permeability ratio of around $2.9$.
Thus, (C) matches with (II).
- (D) High-density Polyethylene (HDPE):
HDPE is highly crystalline, offering a lower absolute permeability but a distinct relative ratio of about $4.6$.
Thus, (D) matches with (III).
This yields the matching sequence: (A)-(IV), (B)-(I), (C)-(II), (D)-(III).

Step 3: Final Answer:

The correct matching sequence corresponds to option 4.
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