Physics, 12.10.2020 01:01 SKYBLUE1015
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
Answers: 1
![\frac{T_s - T }{T_i - T} = erf [\frac{x}{2 \sqrt{\alpha * t} } ]](/tpl/images/0798/5047/fd8df.png)
![\frac{65 - 100 }{30 - 100} = erf [\frac{x}{2 \sqrt{\alpha * t} } ]](/tpl/images/0798/5047/ce4d8.png)
![0.5 = erf [\frac{0.01}{2 \sqrt{\alpha * 120} } ]](/tpl/images/0798/5047/888b8.png)
is a constant with unit 
this is from the Gaussian function table 
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