Volume as the disk radius, the volume of the sphere can be calculated as Now Combining yields formula_15 This formula can be derived more quickly using the formula for the sphere's surface area, which is formula_16. The volume of the sphere consists of layers of infinitesimally thin spherical shells, and the sphere volume is equal to The cone is a type of pyramidal shape. The fundamental equation for pyramids, one-third times base times altitude, applies to cones as well. However, using calculus, the volume of a cone is the integral of an infinite number of infinitesimally thin circular disks of thickness
Solid sorbents for carbon capture adsorption for solids requires less energy for the CO to desorb from the material surface. Also, two primary or secondary amine molecules are generally required to absorb a single CO molecule in liquids. For solid surfaces, large capacities of CO can be adsorbed. For temperature swing adsorption processes, the lower heat capacity of solids has been reported to reduce the sensible energy required for sorbent regeneration. Many environmental concerns over liquid amines can be eliminated by the use of solid adsorbents. Manufacturing costs are expected to be significantly greater than the cost of simple amines. Because flue gas contains trace