Polymers can exist in multiple physical states under service or processing: which option correctly includes all the typical states?

Introduction / Context:
Unlike simple molecules, polymers display a spectrum of physical states depending on temperature, crystallinity, and molecular architecture. Recognizing these states is essential for processing and application design.

Given Data / Assumptions:

• Three states are listed: melt/rubbery, glassy, and semicrystalline.
• Thermal transitions such as glass-transition temperature (Tg) and melting temperature (Tm) govern these states.

Concept / Approach:
At temperatures above Tm (for crystallizable polymers) or above Tg (for amorphous polymers), chains have sufficient mobility for melt or rubber-like behavior. Below Tg, amorphous regions are glassy and brittle. Many engineering polymers are semicrystalline, containing both crystalline lamellae and amorphous regions; their macroscopic state reflects both morphology and temperature.

Step-by-Step Solution:
Identify each state and when it appears (relative to Tg and Tm).Note that polymers may pass through glassy → rubbery → melt with increasing temperature.Conclude that all listed states are possible.

Verification / Alternative check:
DSC and DMA measurements routinely evidence glass transition and melting, correlating with glassy, rubbery, and melt states.

Why Other Options Are Wrong:
Any single state alone is incomplete; polymers exhibit all depending on conditions.

Common Pitfalls:
Assuming a polymer has only one fixed state; processing windows prove otherwise.

Final Answer:
All of the above: (a), (b) and (c)