Constant heat flux of $25$ W$/$m$\mathrm{²}$ passes through a wooden blade having a thickness of $10$ cm$.$ The temperature at the two ends of the wooden blade is $10$ ⁰ C and $35$ ⁰C respectively. Considering a steady state heat transfer: 

 

$($a$)$ How much is the thermal conductivity constant of wood?

$($b$)$ How much is the heat transfer rate for the same wooden blade with a length of $5$ cm and volume of $0\mathrm{.}45$ m$\mathrm{³}?$

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