Consider two glasses. Glass A has a composition of 5% CaO - 95% B2O3. Glass B has a composition of 15% CaO - 85% B2O3. Both samples are cooled from their molten state to room temperature at rates that result in an identical glass transition temperature. Given this information, identify which melt was cooled at a higher cooling rate to achieve identical Tg.

Glass A or Glass B

Glass B

To determine which glass was cooled at a higher rate, we need to understand the concept of glass transition temperature (Tg) and how it relates to the cooling rate.

Glass transition temperature (Tg) is the temperature at which an amorphous material, such as glass, transitions from a supercooled liquid state to a rigid glassy state. It is a critical temperature that determines the mechanical and thermal properties of the glass.

The cooling rate can affect the Tg of a glass. Generally, a faster cooling rate results in a higher Tg, while a slower cooling rate leads to a lower Tg. This is because a higher cooling rate restricts the movement of atoms and molecules, preventing them from forming an orderly crystalline structure.

Considering the composition of Glass A and Glass B, we are told that both glasses have an identical Tg. Glass A has a composition of 5% CaO and 95% B2O3, while Glass B has a composition of 15% CaO and 85% B2O3.

Since the composition of Glass A has a lower CaO content compared to Glass B, we can infer that Glass A has a lower Tg compared to Glass B (assuming all other factors are constant).

However, despite having a lower Tg, Glass A achieved an identical Tg as Glass B. This implies that Glass A was cooled at a higher rate than Glass B to reach the same Tg. The faster cooling rate of Glass A allowed it to suppress its usual lower Tg and reach the identical Tg of Glass B.

In conclusion, Glass A was cooled at a higher cooling rate compared to Glass B to achieve an identical glass transition temperature (Tg).