Step 1: Understanding Partition Coefficient
The partition coefficient (also called distribution coefficient) in extraction refers to the ratio of the concentration of a solute in two immiscible solvents.
Step 2: Evaluating the Options
- Extracte/raffinate: Correct, as partition coefficient is the ratio of solute concentrations between the extract and raffinate.
- Extract/feed: Incorrect, as it does not account for the separation of the two phases.
- Upper aqueous layer/lower aqueous layer: Incorrect, applies only to immiscible aqueous layers.
- Amount of solute extracted / amount of solute in feed: Incorrect, as partition coefficient relates to concentration, not amounts.
Step 3: Conclusion
The correct definition of partition coefficient is extract/raffinate.
A closed-loop system has the characteristic equation given by: $ s^3 + k s^2 + (k+2) s + 3 = 0 $.
For the system to be stable, the value of $ k $ is:
A digital filter with impulse response $ h[n] = 2^n u[n] $ will have a transfer function with a region of convergence.