procedure for determining the thermal conductivity of a solid involves embedding thermocouple in a thick slab of the material 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 100degreeC by exposure to boiling water. If the initial temperature of the slab was 30degreeC and the thermocouple measures a temperature of 65degreeC, 2 minutes after the surface is brought to 100degreeC, what is the thermal conductivity. The density of the material is 2200 kg/m3 and the specific heat is 700 J/M- Find: What is the thermal conductivity of the material

The thermal conductivity  

Explanation:

From the question we are told that

  The  depth of the thermocouple from the surface is  x =  10 mm  = 0.01 m

   The  temperature is  

   The  initial temperature is  

    The  temperature of the thermocouple after t =  2 minutes( 2 * 60 =  120 \ seconds)  is  

    The  density of the material  is  

     The specific heat of the solid

Generally  the  equation for  semi -infinite medium  is mathematically as  

Here is a constant with unit

    this is from the Gaussian function table  

=>  

=>  

Generally the thermal  conductivity is mathematically represented as

audio tape

explanation:

the answer is to check all of them! they all apply well at least i think so!