The present work is based on a mathematical model describing a single acoustic cavitation bubble evolving under an ultrasonic field of 200 and 300 kHz and an acoustic amplitude of 1.8 atm within 1-Butyl- 3-methylimidazolium Acetate. The model integrates the dynamics of bubble oscillation, the thermodynamics within the bulk volume of the bubble and at its interface, as well as the sonophysical and sonochemical events occurring in the presence of dissolved cellulose in the ionic liquid. The performed simulations shed light on the major physical effects of acoustic cavitation, namely shockwave and microjet, as well as the sonochemical effects in terms of the degradation rate of the dissolved cellulose in the secondary reactional site, i.e., the interface. The predominance of the effects and its dependency on the acoustic frequency is tackled from an energetic point of view, it has been demonstrated that 300 kHz offers the lowest heat flow across the bubble interface, lowering the chances for the sonochemical degradation of cellulose, whilst 200 kHz offers a significant degradation rate attaining 17 mol.dm^-3.s^-1, and harsher microjets and shockwaves with powers of 3300 and 900 mW at the collapse, respectively.