Consider a well-insulated rod (i.e., conduction is one-dimensional) that has a length of 10 m. The...

 

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Consider a well-insulated rod (i.e., conduction is one-dimensional) that has a length of 10 m. The temperatures at the ends of the rod are 300 K and 800 K. The thermal conductivity is a function of temperature and is given by k (1 + 0.8*T1.5), where k is in W/m/K and T is in Kelvin. (a) Derive an algebraic equation relating temperature and position along the rod. (b) Make a graph of temperature versus position along the rod. Consider a well-insulated rod (i.e., conduction is one-dimensional) that has a length of 10 m. The temperatures at the ends of the rod are 300 K and 800 K. The thermal conductivity is a function of temperature and is given by k (1 + 0.8*T1.5), where k is in W/m/K and T is in Kelvin. (a) Derive an algebraic equation relating temperature and position along the rod. (b) Make a graph of temperature versus position along the rod.