Question

Zeroth order of reaction, in reaction kinetics, is given by:
A. \(\frac{dc}{dt} = -kc\)
B. \(C = C_0 - kt\)
C. \(\ln \left(\frac{C}{C_0}\right) = -kt\)
D. \(\frac{dc}{dt} = -k\)
Choose the most appropriate answer from the options given below:

• (A) and (C) only
• (B) and (C) only
• (A) and (B) only
• (B) and (D) only

Hint:

Zero-order: \(\frac{dc}{dt} = -k\), \(C = C_0 - kt\).
First-order: \(\frac{dc}{dt} = -kc\), \(\ln(C/C_0) = -kt\).

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Zero-order reactions have a constant rate.
The rate is independent of concentration.

Step 2: Key Formula or Approach:
Zero-order reaction: \(\frac{dc}{dt} = -k\) and \(C = C_0 - kt\).

Step 3: Detailed Explanation:
A. \(\frac{dc}{dt} = -kc\) is first-order - incorrect.
B. \(C = C_0 - kt\) is zero-order - correct.
C. \(\ln(C/C_0) = -kt\) is first-order - incorrect.
D. \(\frac{dc}{dt} = -k\) is zero-order - correct.
Thus, B and D are correct.

Step 4: Final Answer:
The correct representations are (B) and (D).
Hence, the correct option is (D).