please solve the following problem, exaplian every equation used, unit conversion, assuptioms.... thank you$4-$ We have a thermocouple that is thin and registers the temperature at the end of a rectangular well

of a flowing gas stream. Assume that the heat flux at the end of the thermocouple is $0.$ What is

the difference between the actual temperature of the gas stream and the temperature of the well?

Assume the well that is shown has a square cross section. $(15$ points$)$

$T_l=500F=$ temperature indicated by thermocouple

$T_w=350F=$ wall temperature

$h=120Bt\frac{u}{h}r*ft2*F=$ heat transfer coefficient

$k=60Bt\frac{u}{h}r*ft3*F=$ thermal conductivity of well wall

$B=0\mathrm{.}08$ in$.=$ thickness of well wall

$L=0\mathrm{.}2ft=$ length of well