Assignment No$.3-$ Heat Transfer. See attached illustrations and other material.

$1.)$ A freezer has walls and ceiling made of:

$1\mathrm{.}7$ mm thick stainless steel $(k=14\mathrm{.}2\frac{W}{m}K)$

$10$ cm thick foam insulation $(K=0\mathrm{.}034\frac{W}{m}C)$

UNKNOWN thickness of recycled cellulose $(($:$k=0\mathrm{.}043\frac{W}{m}C\}$

$1\mathrm{.}27$ cm thick wood siding $(k=0\mathrm{.}43\frac{W}{m}K).$

The ambient air inside the freezer is maintained at $-40C$ and the ambient air outside the freezer is at $+32C.$

The heat transfer coefficient of the on the exposed stainless steel $("$Side A$")$ side is $2\mathrm{.}0\frac{W}{m^2}K.$ The heat transfer coefficient of the exposed wood side $("$Side $B^{\text{'}\text{'}})$ is $5\mathrm{.}0\frac{W}{m^2}C.$

What is the thickness of the recycled cellulose layer, if the surface temperature on the "warm" $("$Side B$")$ side is $+29C?$