(Solved): A one-dimensional plane wall of thickness 2L=100mm experiences uniform thermal energy generatio ...

A one-dimensional plane wall of thickness $$2\mathrm{L}=100\mathrm{mm}$$ experiences uniform thermal energy generation of $$q=1300\mathrm{W}/{\mathrm{m}}^3$$ and is convectively cooled at $$x=\pm 50\mathrm{mm}$$ by an ambient fluid characterized by $$T_{?}=28^{?}\mathrm{C}$$. If the steady-state temperature distribution within the wall is $$T(x)=a\left(L^2?x^2\right)+b$$ where $$a=10^{?}\mathrm{C}/{\mathrm{m}}^2$$ and $$b=30^{?}\mathrm{C}$$. What is the thermal conductivity of the wall? What is the value of the convection heat transfer coefficient. $$h$$ ? The thermal conductivity of the walli in $$\mathrm{W}/\mathrm{m}?\mathrm{K}$$ : $$k=$$ W/m:k The coivection heat transfer coefficient, in $$\mathrm{W}/{\mathrm{m}}^2?\mathrm{K}$$ : $$h=$$ $$\mathrm{W}/{\mathrm{m}}^2+\mathrm{K}$$