Surface of revolution never negative, the area is given by If the curve is described by the function , , then the integral becomes for revolution around the -axis, and for revolution around the "y"-axis (using ). These come from the above formula. For example, the spherical surface with unit radius is generated by the curve , , when ranges over . Its area is therefore For the case of the spherical curve with radius , rotated about the -axis A minimal surface of revolution is the surface of revolution of the curve between two given points which minimizes surface area. A basic
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