| Process | Description |
| (i) Straining | P: Removes only particles in the water large enough to get caught in the pores of the filter |
| (ii) Sedimentation | Q: Larger and heavier particles do not follow the fluid streamline around the sand grain and settle on the grain |
| (iii) Interception | R: Particles that do follow the streamline, but are too large and are caught because they brush up against the sand grains |
| (iv) Diffusion | S: Very small particles are experiencing Brownian motion and may collide with the sand grains by chance |
Step 1: Analyze each process and its description.
Straining (i): Removes only particles large enough to be trapped in the filter pores. Matches with \( P \).
Sedimentation (ii): Larger and heavier particles settle due to gravity, not following the fluid streamline. Matches with \( Q \).
Interception (iii): Particles follow the streamline but are too large and brush against sand grains, getting caught. Matches with \( R \).
Diffusion (iv): Very small particles experience Brownian motion and collide with sand grains randomly. Matches with \( S \).
Step 2: Select the correct match. From the analysis: \[ i: P, \quad ii: Q, \quad iii: R, \quad iv: S \]
The Food to Microorganisms ratio used in the activated sludge process is given by ___ , where \(V\) is the volume of the reactor, \(S_0\) is the influent substrate concentration, \(SRT\) is the solids retention time, \(X\) is the MLSS, and \(Q\) is the rate of inflow of sewage.