Difficulty: Easy
Correct Answer: 20,000 to 25,000
Explanation:
Introduction / Context:
Engineering thermoplastics achieve useful mechanical properties only when the number-average or weight-average molecular weight is sufficiently high to entangle chains and distribute loads. Understanding order-of-magnitude ranges is vital in polymer processing and property prediction.
Given Data / Assumptions:
Concept / Approach:
A representative lower bound for practical plastics is around 2e4, where tensile strength and melt elasticity become useful. While many grades exceed 2.5e4, the option closest to a reasonable, representative range among the choices given is 20,000 to 25,000.
Step-by-Step Solution:
Eliminate impossible or nonsensical ranges (5,000 to 1,000; 10^9 to 10^11).Recognise 1,000 to 5,000 as too low for most plastics (oligomeric).Choose 20,000 to 25,000 as the most representative option provided.
Verification / Alternative check:
Datasheets often quote Mw: LDPE 1e5–5e5; PP 1e5–7e5; PVC 6e4–1.2e5. The selected option captures a plausible minimum threshold.
Why Other Options Are Wrong:
Too low or physically unrealistic for processable plastics.
Common Pitfalls:
Confusing degree of polymerisation with molecular weight; not distinguishing Mn vs Mw.
Final Answer:
20,000 to 25,000
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