Question:

Which of the following plastic films is the thickest?

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Packaging Film Conversions:
$0.01\text{ inch} = 10\text{ mils} = 1000\text{ gauge} = \mathbf{254\;\mu\text{m}}$ (THICKEST).
$2\text{ mils} = 50.8\;\mu\text{m}$.
$150\text{ gauge} = 38.1\;\mu\text{m}$.
  • LDPE with 2 mil
  • LLDPE with 0.01 inch
  • Polystyrene with 25 microns
  • Nylon with 150 gauge
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The Correct Option is B

Solution and Explanation

Step 1: Understanding the Concept:
Dimensional unit conversions in food packaging films: calculating thickness in micrometers ($\mu ext{m}$) across imperial units (mils, inches, gauge) and SI metric microns.
Key Formula or Approach:
\[ 1\text{ inch} = 25,400\;\mu\text{m} \mid 1\text{ mil} = 10^{-3}\text{ in} = 25.4\;\mu\text{m} \mid 100\text{ gauge} = 1\text{ mil} = 25.4\;\mu\text{m} \implies 1\text{ gauge} = 0.254\;\mu\text{m} \]

Step 2: Detailed Explanation:

Converting all packaging film thicknesses to a common unit (Micrometers $\mu\text{m}$):
1. Option 1 (LDPE with 2 mil):
\[ 2\text{ mil} = 2 \times 25.4\;\mu\text{m} = \mathbf{50.8\;\mu\text{m}} \]
2. Option 2 (LLDPE with 0.01 inch) (B):
\[ 0.01\text{ inch} = 0.01 \times 25,400\;\mu\text{m} = 10\text{ mil} = \mathbf{254.0\;\mu\text{m}} \]
3. Option 3 (Polystyrene with 25 microns):
\[ 25\text{ microns} = \mathbf{25.0\;\mu\text{m}} \]
4. Option 4 (Nylon with 150 gauge):
\[ 150\text{ gauge} = 150 \times 0.254\;\mu\text{m} = 1.5\text{ mil} = \mathbf{38.1\;\mu\text{m}} \]
- Comparing values: $254.0\;\mu\text{m} \gg 50.8\;\mu\text{m} > 38.1\;\mu\text{m} > 25.0\;\mu\text{m}$.
- Therefore, LLDPE with 0.01 inch (254 $\mu$m) is overwhelmingly the thickest plastic film.

Step 3: Final Answer:

Hence, LLDPE with 0.01 inch is the thickest, matching option (B).
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