Find thermal conductivity of metal in a rod

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A cylinder with a piston is filled with ideal gas. The gas temperature is held at 500K. The cylinder is heated by an oven through a square metal rod connected between the oven and the cylinder. The rod has sides 2.5cm and length 2m.

(a) If the oven is held at 1300K, and the heat current conducted through the metal rod is 20W, find the thermal conductivity of the metal in the rod.

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

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

(b) In order to maintain the temperature of the cylinder, a heat current of 50W is needed. If we use the same metal rod to conduct heat, find the oven temperature in Kelvin that will maintain the necessary heat current.
 

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