An experimental arrangement for measuring the thermal conductivity of solid
material involves the use of two long rods that are equivalent in every aspect, except
that one is fabricated from a standard material of known thermal conductivity kA while
the other is fabricated from the material whose thermal conductivity kB is desired.
Both the rods are attached at one end to a heat source at fixed temperature Tb are
exposed to a fluid of temperature ஶ and are instrumented with thermocouples to
measure the temperature at a fixed distance x1 from the heat source. If the standard
material is aluminium with kA = 200 W/m.k and measurement reveal values of TA =
75oC and TB = 60oC at x1 for Tb = 100oC and ஶ= 25oC, what is the thermal
conductivity kB of the test material
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