A titanium alloy rectangular rod $(10$cm x $1$cm x $1$cm$)$ for which thermal conductivity is $25$

W$/($m$$K$),$ with density is $4500$ kg$/$m$3$

and heat capacity of $520$ J$/($kg$$K$),$ is initially at $40$C$.$ When

exposed to a hot gas stream at $350$C$,$ the rod experiences a heat transfer coefficient of $150$

W$/($m$2$

$$K$).$ Estimate the rod temperature after $50$ s$.$ Hint: Check the Bi number and apply the

solution for systems with negligible internal resistance.