Will this compressor run that tool?

Work out the pump-up time, whether the compressor keeps up with the tool, and how long the receiver lasts once it does not.

Receiver size, litres

Compressor output (free air)

Use free air delivery (FAD) if the plate gives it. A displacement figure is what the pump sweeps, not what it delivers, and is usually well above it.

Cut-in pressure

Cut-out pressure

Air the tool needs (optional)

Pressure the tool needs (optional)

What this assumes

Compression is treated as isothermal - as though the air stayed at one temperature. It does not: compressing air heats it, so a real pump-up takes longer than this and the receiver loses a little pressure as it cools afterwards. Read the fill time as a planning figure.
Free air delivery is what the compressor actually puts into the tank, measured at atmospheric pressure. Displacement, which some plates quote instead, is what the pump sweeps and is a larger and less useful number.
The run time assumes the tool is used continuously and the compressor keeps pumping throughout. Most air tools are used in bursts, so real working time is longer.
Pipework between the receiver and the tool loses pressure of its own. The air hose calculator covers that part.
The flow and pressure a tool needs come from its own plate or datasheet. This page does not know them for any particular tool and never supplies them.