Step 1: Understanding the Concept:
In first-order kinetics, the rate of drug elimination is directly proportional to the plasma concentration of the drug.
A constant *fraction* of the drug is eliminated per unit of time.
Detailed Explanation:
Let us analyze each statement for first-order kinetics:
- Statement (A): Clearance ($Cl = V_d \times k_{el}$) is independent of concentration and dose, meaning it remains constant. This statement is CORRECT.
- Statement (B): A fixed *fraction* (percentage) of the drug is eliminated per unit time, not a fixed *amount*.
A fixed *amount* is eliminated in zero-order kinetics (saturated pathways). This statement is INCORRECT.
- Statement (C): The half-life ($t_{1/2}$) of the drug is constant and independent of the administered dose. This statement is INCORRECT.
- Statement (D): Since clearance is constant, it does not decrease with an increase in dose. This statement is INCORRECT.
Therefore, statements (B), (C), and (D) are not correct about first-order kinetics.
Step 2: Final Answer:
The correct option is (C).