$\backslash$table$[[$Problem $1$: A $0\mathrm{.}5-m-$long thin vertical plate is subjected to a uniform heat flux of $1200\frac{W}{m^2}$ on one side,,,$],[$while the other side is exposed to hydrogen gas at $5C.$ Assuming that the properties of the hydrogen gas can,,$],[$be evaluated at $50C,$ determine the plate midpoint temperature $T_{\frac{L}{2}}.$ Is $50C$ an appropriate film temperature,,$],[$for evaluation of the properties of the hydrogen gas? $($Answer: $($:$T_{\frac{L}{2}}=94\mathrm{.}2C$