Math Problem Statement
Solution
Let's break down and solve the problem step by step.
Step 1:
- You dilute 100 µL of bacterial stock with 700 µL of distilled water.
- The total volume after dilution is .
- The dilution factor for this step is the ratio of the total volume to the volume of the bacterial stock:
Step 2:
- From the solution in Step 1, you take 100 µL and dilute it further with 900 µL of distilled water.
- The total volume for this step is .
- The dilution factor for this step is:
Final/Total Dilution Factor:
- The total dilution factor is the product of the dilution factors from both steps:
Final Answers:
A) The dilution factor after Step 1 is 8.
B) The final/total dilution factor at the end of Step 2 is 80.
Would you like more details or further explanation on any part of this?
Here are 5 related questions to expand on this:
- How would you calculate the dilution factor if you only added 500 µL of water in Step 1?
- If you wanted a final dilution factor of 100, how would you adjust the volumes in Step 2?
- Why is serial dilution preferred in microbiological applications?
- How can you verify the dilution factor experimentally?
- What impact does the accuracy of pipetting have on the dilution results?
Tip: Always make sure your pipette is calibrated properly to ensure the accuracy of the volumes used in dilutions.
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Math Problem Analysis
Mathematical Concepts
Dilution
Ratios
Formulas
Dilution Factor = Total Volume / Volume of Stock
Theorems
-
Suitable Grade Level
Grades 9-12
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