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A sphere of plutonium, radius 5 cm, is undergoing a series of low-level nuclear reactions. This...

A sphere of plutonium, radius 5 cm, is undergoing a series of low-level nuclear reactions. This sphere is insulated by a spherical container of lead with thickness 25 cm, to shield the space- craft from radioactive emission. Taking the temperature of the sphere’s exterior to be 2.3 K, the thermal conductivity of lead to be 34.7 W m−1 K−1 and the thermal power output of the system to be 2500 W, what is the temperature of the 5 cm core sphere? You may assume that the system is in steady state, as per previous examples of this type.

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