A forced$-$circulation triple$-$effect evaporator is fed $60,000$ lb$/$h $(27,215$ kg$/$h$)$ of a $10\%$ caustic soda solution at a temperature of $180\backslash$deg F $(82\mathrm{.}2\backslash$deg C$).$ The concentrated solution will contain $50\%$ NaOH. Saturated water vapor at $50$ lbf$/$in$\mathrm{.}2(3\mathrm{.}43$ atm$)$ abs is used as the heating vapor, and the condensation temperature of the vapor from the third effect will be $100\backslash$deg F $(37\mathrm{.}8\backslash$deg C$).$ The order of the effects is II$,$ III, I. Radiation and condensate subcooling are negligible. The overall coefficients corrected for boiling point elevation are given in Table $16\mathrm{.}2.$ Calculate $($a$)$ the heating surface required for each effect, assuming that the surfaces are the same for all effects; $($b$)$ the consumption of heating steam, and $($c$)$ the economy of such steam.

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