Chapter 2, Problem 158P

Consider a large plane wall of thicness L, thermal conductivity k, and surface area A. The left surface of the wall is exposed to the ambient air at $T_{\infty }$ with a heat transfer coefficient of h while the right surface is insulated. The variation of temperature in the wall for steady one-dimensional heat conduction with no heat generation is

1. $T_{}(x)=\frac{h(L-x)}{k}{T}_{\infty }$
2. $T_{}(x)=\frac{k}{h(x+0.5L)}{T}_{\infty }$
3. $T_{}(x)=\left(1-\frac{xh}{k}\right)T_{\infty }$
4. $T_{}(x)=\left(L-x\right)T_{\infty }$
5. $T_{}(x)=T_{\infty }$