Due to capillary rise in a vertical capillary tube, mass of water in the tube is m and rise of water is h. Then heat generated during the process of capillary rise is

Capillary rise h=2TcosθρrgMass of liquid in the tube, m=πr2.h.ρ=2πrTcosθgW = Work done by surface tension force=2πrTcosθ×h=mghGravitational potential energy stored in the system U=mg.h2∴ Heat generated =W−U=mgh−12mgh=12mgh