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Two bars, A and B, each of length 2.0 m and cross sectional area 1.0 m2, are pla

ID: 1793263 • Letter: T

Question

Two bars, A and B, each of length 2.0 m and cross sectional area 1.0 m2, are placed end to end as shown in the figure 9. 373 K 273K The thermal conductivities of the bars are k^ 439 J/(s-m·K) and kn = 887 J/(s-m-K), respectively. The left end of bar A is maintained at 373 K while the right end of B is maintained at 273 K a What is the temperature at the interface between A and B? Ans:306 K b) what is the rate of heat transfer through this combination? Ans: 1.5 × 104 J/s c. How much heat passes the interface between A and B in 6.0 s? Ans:8.8 × 10

Explanation / Answer

b)

rate of heat transfer = Ka*(373-T)*A/L = Kb*(T - 273)*A/L


rate of heat transfer P = 439*(373-306)*1/2 = 1.47*10^4 J/s


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(c)

amount of heat passing the interface Q = P*t


Q = 1.47*10^4*6 = 8.8*10^4 J