A stream of water vapor flowing at a rate of $250$ mol$/$h is brought from $600\backslash$deg C and $10$ bar to $100\backslash$deg C and $1$ atm. Estimate the required cooling rate $($kW$)$ three ways: $($i$)$ from the steam tables, $($ii$)$ using heat capacity data in Table B$\mathrm{.}2,$ and $($iii$)$ using the Enthalpy function of APEx.