The glass transition temperature (Tg) of a polymer is the temperature at which the polymer transitions from a hard, glassy material to a soft, rubbery material. In this case, we are told that the initial Tg of the polymer is 100°C. When the polymer is modified with nanofillers, the Tg increases by 15%.
To calculate the new Tg, we use the following formula to find a 15% increase in Tg:
\[
{New Tg} = {Original Tg} + 15% { of Original Tg}
\]
\[
{New Tg} = 100°C + 0.15 \times 100°C = 100°C + 15°C = 115°C
\]
Thus, the new Tg after modification with nanofillers is 115°C.
This is a simple percentage increase problem where we apply the given percentage change to the original value.