Hi gentib,
Here is your file back:
https://www.amazon.com/clouddrive/share/Qa3675wFb8OFK7IjhxAZcBULSsTUDoHsR3zrynkrpNj
I assume the project is based on 30 fps, so I placed 30 particles per second into the output but stopped the emitting after the first frame.
(A set up with just one particle, would require a whole second before the emission stops, which places the single-particle somewhere in the middle of the one-second duration. The stop-emission would be then at frame 31.)
In the file, you will find as well a Thinking Particle set up, just in case.
Let me know if you need anything else.
Have a great weekend