Question: A procedure for determining the thermal conductivity of a solid material involves embedding a thermocouple in a thick slab of the solid and measuring the

A procedure for determining the thermal conductivity of a solid material

A procedure for determining the thermal conductivity of a solid material involves embedding a thermocouple in a thick slab of the solid and measuring the response to a prescribed change in temperature at one surface. Consider an arrangement for which the thermocouple is embedded 10 mm from a surface that is suddenly brought to a temperature of 100 C by exposure to boiling water. If the initial temperature of the slab is 30 C and the thermocouple measures a temperature of 65 C after 2 min at 10 mm, what is the thermal conductivity of the slab? The density and the specific heat of solid are known to be 2200 kg/m and 700 J/kgK

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