The problem involves separation of abrasive solids from a corrosive liquid.
For such service, the filter should handle continuous operation and reduce excessive mechanical wear.
A vacuum filter is suitable for continuous filtration of slurry.
It is commonly used when solids are present in suspension and liquid must be removed.
In corrosive service, suitable corrosion-resistant construction or lining can be used.
A sand filter is mainly used for clarification of water and is not suitable for abrasive slurries.
A basket centrifuge is not the best option for corrosive abrasive suspension in this context.
A plate and frame filter press may suffer more wear and requires batch operation.
According to the given answer key, the most suitable filter is:
\[
\text{Vacuum filter}
\]