Design a two$-$phase horizontal separator with a mist eliminator to separate the mixture. The operating pressure and temperature are $975$ psig and $100,$ respectively and it is necessary to have a liquid holdup and surge time of $20$min. Use $SA51670$ steel with design temperature $650C,$ stress value $17500$ and corrosion allowance of $\frac{1}{12}$ inch. Also give recommendation if the design is valid.

$[20$ marks$]$

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