Below is the flow scheme for receiving wet gas from a field gathering system. You are to determine the diameter and length of $2^{nd}$ separator.

The gas flow is $100$ MMSCFD$.$

The gas pressure is $500$ psia.

The gas temperature is $70F.$

The gas has a molecular weight of $18\mathrm{.}85.$

Droplet size removal: $200$ microns.

Assume the same operation conditions in the second separator.

The system must handle an increase of liquid of $1000$ bbls over $1$ hour, $2^{nd}$ separator maximum retention time is $10$min.

Clearly state all the assumptions made.