The dataset shows the values of the variables needed to calculate the Exergy Replacement Costs, the Embodied Exergies and the Thermodynamic Rarity. The values of these exergy costs are in GJ/t. Detailed information on the description of these costs and how they have been calculated can be found in the following bibliographic reference: Valero, A., Valero, A., 2015. Thanatia. The destiny of the Earth’s mineral resources. A thermodynamic cradle-to-cradle assessment. World Scientific Publishing Co. Pte. Ltd, Hackensack, NJ, USA and London, UK.