A cryogenic storage container holds liquid helium, which boils at 4.2 K. Suppose a student painted the outer shell of the container black, turning it into a pseudo-blackbody, and that the shell has an effective area of 0.36 meters squared and is at 3.1e+02 K
(a) Determine the rate of heat loss due to radiation. (The Stefan-Boltzmann constant is 5.67e-08)
(b) What is the rate at which the volume of the liquid helium in the container decreases as a result of boiling off? The latent heat of vaporization of liquid helium is 20.9 kJ/kg. The density of liquid helium is 0.125 kg/L.