Question

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

• A. $562.25K$
• B. $549.02K$
• C. ${549.02}^{0}C$
• D. $276.02K$

Answer 1

The correct option is B $549.02K$



Thermal circuit :

Heat transfer rate $\left(Q\right)=\frac{3000-500}{\frac{1}{hA}+\frac{b}{.kA}}=\frac{3000-T}{\frac{1}{hA}}$

$\frac{2500}{\frac{1}{160}+\frac{0.005}{40}}=\frac{3000-T}{\frac{1}{160}}$

$T=549.019K={276.0196}^{0}C$