Physics · Thermodynamics

Two compartments in a cylinder with uniform cross section and a total length of 102 cm are separated by a sliding, perfectly insulating partition. Vacuums exist in both compartments, and the radiation inside each is in thermal equilibrium with its end walls. The walls at the two ends of the cylinder are maintained at temperatures of 2000 K and 4000 K respectively. Find the equilibrium location of the partition, measured from the 2000 K left end of the container.