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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
(b) For a larger cylinder at 450 K, a heat current of 57 W 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.
T = K