The universal WLF constants are and

PHYSICS · Multi-part · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Soft condensed matter · Soft condensed matter

Soft Matter at the Thermal Scale, Ch Polymer dynamics and viscoelasticity

Problem

The universal WLF constants are

c_1 = 17.44

and

c_2 = 51.6\,\mathrm{K}

, giving the shift factor

\log_{10}a_T = -\frac{c_1(T-T_g)}{c_2 + (T-T_g)}

for temperatures above the glass transition

T_g

. ((a)) Find

\log_{10}a_T

T - T_g = 30\,\mathrm{K}

. ((b)) Hence find the factor by which relaxation processes are sped up relative to

T_g