Today, due to the momentary release of carbon dioxide and increasing global heat, solutions that prevent the release of this greenhouse gas into the atmosphere are very important. In this work, a nanoporous sorbent with a 3D framework and chemical formula of [Ca 1.5 (FDC) 1.5 (DMF)] (MUT-13) (FDC 2− = furan-2,5-dicarboxylate, DMF= N,N-dimethylformamide) was prepared in different synthetic routes. Single crystal of MUT-13 was identified by X-ray crystallographic analysis and other physicochemical analyses. Then, with the help of GCMC, the performance of MUT-13 was simulated in the adsorption of various gases (CO 2 , H 2 , C 2 H 2 , CH 4 , and N 2 ) under different temperature and pressure conditions. Also, the potential of MUT-13 in separating carbon dioxide from binary mixtures (CO 2 /CH 4 , CO 2 /N 2 , CO 2 /H 2 and CO 2 /C 2 H 2 ) was investigated. The results indicated that the sorption structure has a high capacity to adsorb carbon dioxide (6.2 mmol.g −1 ) and acetylene (5.5 mmol.g −1 ) molecules in environmental conditions. It also shows a separation greater than 5000 and 2000 for the mixture of CO 2 :H 2 at low and high pressures, respectively. This good performance of MUT-13 in adsorbing and separating carbon dioxide compared to other MOF-based adsorbents can be related to the surface of its pores decorated by the heteroatom of the ligand and the presence of unsaturated metal centers in its structure.