“…The rate of ultrasound-induced polymer chain scission, which indirectly reports on the activity of a scissile mechanophore located near the chain midpoint, is routinely characterized using a linearization function applied to time-dependent changes in average molecular weight. ,,− The theoretical eq , which was originally developed to describe random polymer degradation processes, , was applied by Sato and Nalepa to the ultrasonic degradation of cellulose derivatives as early as 1978 where M n, t and M n,0 are the number-average molecular weight at time t and t = 0, respectively, and k ′ is the apparent rate constant for polymer chain scission. While values of k ′ with units of mol kg –1 min –1 are often reported in the literature, ,,− ,, the actual rate constant from this linearization analysis is provided by eq where k L has units of min –1 after adjusting for the molecular weight of the polymer repeat unit, m 0 .…”