$(2\mathrm{.}0)$ Consider a stream of methanol flowing at a speed of $0\mathrm{.}25\frac{m}{s}$ through a tube $20m$ long

and $1\mathrm{.}8cm$ in internal diameter. Knowing that the temperature of the inner surface of the

tube is maintained at $40C$ and that methanol enters the tube at $10C,$ determine the temperature

methanol outlet.

Additional data:

$=0\mathrm{.}023R{e}^{0\mathrm{.}11}P{r}^{0\mathrm{.}4}$

Methanol properties:

$p=783\mathrm{.}75k\frac{g}{m^3}$;$C{P}_P=2546\frac{J}{k}g.K$;$K=0\mathrm{.}1984\frac{W}{m}.K$;

$=5\mathrm{.}472{10}^{-4}k\frac{g}{m}.s$;$Pr=7\mathrm{.}018$