Aluminum* conducts heat twice as well as brass. A brass rod isconnected to an al

Question

Aluminum* conducts heat twice as well as brass. A brass rod isconnected to an aluminum rod of the same length and radius. thefree end of the aluminum rod is heated to 200 degrees C while thefree end of the brass rod is cooled to 0 degrees C. If we canneglect heat loss to the environment, what is the temperature atwhere the two metals meet? 76oC, 100oC, 133oC, 145oC, or158oC?      *(Thermal conductivity of aluminum:200 J [s x m x Co]) Aluminum* conducts heat twice as well as brass. A brass rod isconnected to an aluminum rod of the same length and radius. thefree end of the aluminum rod is heated to 200 degrees C while thefree end of the brass rod is cooled to 0 degrees C. If we canneglect heat loss to the environment, what is the temperature atwhere the two metals meet? 76oC, 100oC, 133oC, 145oC, or158oC?      *(Thermal conductivity of aluminum:200 J [s x m x Co])

Explanation / Answer

H = K A (T2 - T1) /L      rate at which heat is conductedbetween T1 and T2 HA / HB = KA (200 - T) /[KB (T - 0)] = 2 (200 - T) / T = 1 since the endsin contact are conducting at the same rate T = 133 HA / HB = KA (200 - T) /[KB (T - 0)] = 2 (200 - T) / T = 1 since the endsin contact are conducting at the same rate T = 133

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