Question

In reaction kinetics, for first order reaction, the relation between rate constant (K) and decimal reduction time (D) is:

• A. \(D = \frac{\log 10}{K}\)
• B. \(D = \frac{2.303}{K}\)
• C. \(D = \frac{\ln 10}{K}\)
• D. \(D = \frac{1}{K}\)

Hint:

D-value = 2.303 K.
Used in thermal death kinetics.

Answer 1

The Correct Option is B

Step 1: Understanding the Concept:
Decimal reduction time (D-value) is related to the rate constant.
The relationship is specific for first-order reactions.

Step 2: Key Formula or Approach:
For first-order reactions: \(D = \frac{2.303}{K}\).

Step 3: Detailed Explanation:
D-value is the time required for a 90% reduction.
The relationship is: \(D = \frac{\ln 10}{K} = \frac{2.303}{K}\).
Thus, D = 2.303 K.

Step 4: Final Answer:
The correct relation is \(D = \frac{2.303}{K}\).
Hence, the correct option is (B).