Question

The Del factor for the reduction of number of microbial cells from 10¹⁰ to one is

• A. $1$
• B. $10$
• C. $23$
• D. $103$

Answer 1

The correct option is C

$23$

The correct option is C.

Explanation for the correct option:

Step 1: Given data

The initial number of microbial cells$={10}^{10}$

Number of cells after some time$=1$

Step 2: Applying the formula

Del factor $=\ln \frac{{\mathrm{A}}_{°}}{{\mathrm{A}}_{\mathrm{t}}}$ where ${\mathrm{A}}_{°}$ is the initial number of microbial cells and ${\mathrm{A}}_{\mathrm{t}}$ is number of cells after some time.

Step 3: Solving the equation to get the required value

Del factor$=\ln \frac{{10}^{10}}{1}$

$=10\times \ln 10$

$=10\times 2.30$

Del factor$=23$

Final answer: The Del factor for the reduction of the number of microbial cells from ${10}^{10}$ to one is $23$.