Question

A cylinder with a piston is filled with ideal gas. The gas temperature is held at 450 K. The cylinder is heated by an oven through a square metal rod connected between the oven and the cylinder. The rod has sides d = 2 cm and length L = 2.3 m.

(a) If the oven is held at 850 K, and the heat current conducted through the metal rod is 23 W, find the thermal conductivity of the metal in the rod.

k = ? W/m K

HELP: H = k*A*(T2-T1) / L

HELP: H is the heat current; k is thermal conductivity; T2 and T1 are temperatures at two ends; A and L are cross-sectional area and length of the rod.