Answer:
3126.9
![W/m^2](https://img.qammunity.org/2020/formulas/physics/middle-school/40i9xiab3sislztnhmu88737oo5kvpcpui.png)
Step-by-step explanation:
We are given that
Thermal conductivity of material ,k=0.16 W/mK
Thickness of hardwood board=[ptex]\Delta x[/tex]=1.5 cm =0.015 m
Temperature difference =
=20+273.15=293.15 k
We know that formula of heat flux
![\phi=(Q)/(A)=(k\Delta T)/(\Delta x)](https://img.qammunity.org/2020/formulas/engineering/college/4hia4hhw3xbxpezcjlwv2s838ynetgjyub.png)
![\phi=(293.15*0.16)/(0.015)=3126.93 W/m^2](https://img.qammunity.org/2020/formulas/engineering/college/baqdal09wccbpu9vhkihi18hpqscjhsxbp.png)
Hence, the heat flux passing through hardwood board=3126.9
![W/m^2](https://img.qammunity.org/2020/formulas/physics/middle-school/40i9xiab3sislztnhmu88737oo5kvpcpui.png)