The lower end of a capillary of radius `r = 0.2 mm` and length `l = 8 cm` is immersed in water whose temperature is constant and equal to `T_(low) = 0^(@)C`. Datermine the height `h` to which the water in the capillary rises, assuming that the thermal conductivity of the capillary is much higher than the termal conductivity of water in it. The heat exchange with the ambient should be neglected.
Use the following temperature dependence of the surface tension of water :
`{:(T,.^(@)C,0,20,50,90),(sigma,mN//m,76,73,67,60):}`
