In Table $1,$ you are provided with information about material permeability and thermal conductivity.

In Table $2,$ you are provided with temperature and relative humidity information of the wall interior and exterior. We will neglect convective heat transfer in this problem.

Below Table $2,$ you are provided an expression for calculating saturation vapor pressure.

Use the Dew Point method to determine if wall condensation is likely, taking the following steps: $[40$ points$],$ provide a plot of temperature versus position and provide the heat flow rate $(\frac{W}{m^2})$ within the wall; $[40$ points$],$ provide a plot of saturation vapor pressure and vapor pressure versus position in wall and provide the diffusional mass transport rate $k\frac{g}{m^2-s}.$

$[20$ points$],$ Based on the above, determine whether condensation is a problem. See extra credit opportunity below.

Table $1$

$\backslash$table$[[$Material$,$Permeability $(kg*m^{-1}*s^{-1}*P{a}^{-1}),$Thermal Conductivity $(W*m^{-1}*K^{-1})$