b$)$ A $1-2$ shell and tube condenser on a power plant, consisting of a

single shell and $30000$ tubes, has a duty of $2000$ MW from low

pressure steam condensation shellside with cooling water tubeside.

The cooling water inlet is at $303K,$ the water flowrate per tube is

$1kg{s}^{-1}$ and the tube diameter is $25mm$ with thin walls. The steam

condenses at $333K.$ The shellside heat transfer coefficient is

$11kWm{K}^{-1}.$ The specific heat capacity, thermal conductivity and

viscosity of the water may be taken as $4180Jk{g}^{-1}{K}^{-1},0\mathrm{.}6W{m}^{-1}{K}^{-1}$

and $0\mathrm{.}885$mPa, respectively. Find the water outlet temperature and

the tube length per pass required for the duty.

c$)$ For the exchanger described in Q$2$ b$),$ calculate the effectiveness.

Note:

The following correlations apply for convective heat transfer in tubes:

$=0\mathrm{.}023R{e}^{0\mathrm{.}8}P{r}^{0\mathrm{.}33}$ for $Re>2100$

$=1\mathrm{.}84(RePr(\frac{d}{L}){)}^{\frac{1}{3}}$ for $Re<mn\; id="EditorElement\_854143">2</mn><mn\; id="EditorElement\_854144">1</mn><mn\; id="EditorElement\_854145">0</mn><mn\; id="EditorElement\_854146">0</mn>$;$dis$ tube diameter, $Lis$ tube length.