A wall of thickness $5 \mathrm{~mm}$ is heated by a hot gas flowing along the wall. The gas is at a temperature of $3000 \mathrm{~K},$ and the convective heat transfer coefficient is $160 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}$. The wall thermal conductivity is $40 \mathrm{~W} / \mathrm{mK}$. If the colder side of the wall is held at $500 \mathrm{~K}$, the temperature of the side exposed to the hot gas is _______________$\mathrm{K}$

A wall of thickness $5 \mathrm{~mm}$ is heated by a hot gas flowing along the wall. The gas is at a temperature of $3000 \mathrm{~K},$ and the convective heat transfer coefficient is $160 \mathrm{~W} / \mathrm{m}^{2} \mathrm{~K}$. The wall thermal conductivity is $40 \mathrm{~W} / \mathrm{mK}$. If the colder side of the wall is held at $500 \mathrm{~K}$, the temperature of the side exposed to the hot gas is _______________$\mathrm{K}$

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