The adverse impact of climate change is possibly decreased by reducing the anthropogenic carbon dioxide in the atmosphere. As the coal-fired power plant is the primary source of anthropogenic carbon dioxide generation, our research work focuses on the maximization of capturing of released carbon dioxide from the power plant. This paper proposes capturing carbon dioxide by considering decisions regarding clean technology such as carbon capture technology by linear optimization model. This paper's other contribution is to solve the optimization problem considering the loss of energy due to the implementation of the clean technology, which is compensated by incorporating the coal-fired compensatory plant. With the introduction of compensatory plants, the model becomes nonlinear, which is managed by auxiliary equations. It is observed from analysis results that the proposed model is 35.62% more effective to capture carbon dioxide from the coal-fired power plants of Orissa state in India due to the optimal selection of clean technology. These research works provide one of the paths in reducing the risk of exceeding a global temperature increase of 2 ⁰C compare to the preindustrial period in the context of sustainable operations.