Wastewater can get contaminated with heavy metals (HM) due to a variety of factors including industrial operations, pesticide and fertilizer use in agriculture. The presence of HM in wastewater is Hazardous to human health and the environment. Waste water must be treated for removing or reducing the concentration of HM before releasing back to environment. In this work, we suggest a mathematical model to clarify the procedures involved in HM removal from wastewater. Our model combines important processes including radiation, precipitation and adsorption to offer a multidimensional perspective on HM elimination. We use the Langmuir equation to describes the adsorption mechanism for summarizing the relationship between the concentration of adsorbed metal, equilibrium concentration, and maximum adsorption capacity. We model diffusion inside the adsorbent using Fick’s second law to determine the effect of metal ion dispersion. In addition, a new factor called the radiation-induced removal term is added to the rate equation for the precipitation process in an effort to increase the precipitation process’s overall efficiency via ionizing radiation. The model is numerically solved for a range of parameters enabling a thorough investigation of the system in various scenarios. Our findings are displayed as 3D surface plot to enable us for in-depth examination. This analytical method allows for a deep comprehension of the mechanisms controlling the removal of heavy metals from wastewater with a focus on the impact of ionizing radiation and diffusion on overall efficacy. We hope that this study will provide important new information that will help improve and optimize wastewater treatment techniques for the efficient removal of heavy metal.