A rectangular block with a uniform thermal conductivity of $1\mathrm{.}6\frac{W}{m}*K$ is illustrated in Figure $1.$ Steady$-$state heat transfer is occurring within the block. One side of the block is insulated. The air has a temperature of $35C$ and a convection heat transfer coefficient of $50\frac{W}{m^2}*K.$ Given the temperature of $T_1=46\mathrm{.}0C,T_3=66C,T_5=104\mathrm{.}0C,$ and $T_7=130\mathrm{.}0C,$

a$.$ Determine the temperatures at nodes $2,4,6$ and $8.$

b$.$ Determine the heat transfer rate per unit thickness $(\frac{W}{m})$ from surface $A$ of the block to the air.

insulated

Temperature maintain at $T_5=210C$