Math Problem Statement

How to calculate CFU/mL given 2 colonies, a spreading volume of 0.1 mL, and a dilution factor of 10³?

Solution

It looks like you’ve uploaded an image from a Colony Forming Unit (CFU) calculation simulation. The image shows the following data for the calculation of CFU/mL:

  • Number of Colonies: 2
  • Volume used for Spreading: 0.1 mL
  • Dilution Factor: 10³

The result displayed is: 2.0×103cfu/mL2.0 \times 10^3 \, \text{cfu/mL}

This result is calculated using the formula: CFU/mL=Number of ColoniesVolume used for Spreading×Dilution Factor\text{CFU/mL} = \frac{\text{Number of Colonies}}{\text{Volume used for Spreading} \times \text{Dilution Factor}}

Given: Number of Colonies=2,Volume=0.1mL,Dilution Factor=103\text{Number of Colonies} = 2, \quad \text{Volume} = 0.1 \, \text{mL}, \quad \text{Dilution Factor} = 10^3 CFU/mL=20.1×103=2100=0.02×103=2.0×103cfu/mL\text{CFU/mL} = \frac{2}{0.1 \times 10^3} = \frac{2}{100} = 0.02 \times 10^3 = 2.0 \times 10^3 \, \text{cfu/mL}

Would you like further details on this calculation or have any questions?

Here are 5 related questions:

  1. What does CFU represent in microbiology?
  2. How does dilution factor affect the CFU calculation?
  3. What would happen if you used a different volume for spreading?
  4. How can you improve accuracy when counting colonies in a Petri dish?
  5. What are the limitations of the CFU method in microbial counting?

Tip: Always ensure proper dilution and spreading technique to get accurate colony counts in microbiology experiments.

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Math Problem Analysis

Mathematical Concepts

Microbiology
Unit Conversion
Ratio
Division

Formulas

CFU/mL = (Number of Colonies) / (Volume used for Spreading * Dilution Factor)

Theorems

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Suitable Grade Level

University (Microbiology)