Water vapor $($steam$)$ is flowing through a $2-$inch diameter pipe at an average velocity of $3$

$f\frac{t}{s}.$ The steam temperature at the inlet and outlet are $500F$ and $300F$ respectively. The

average pipe wall temperature is uniform and constant at $212F.$ Estimate the average heat

loss of the steam to the pipe wall due to convective heat transfer for when the length of the

pipe is $5-$feet and $15-$feet. Show all work. $[30$ marks$]$