Math Problem Statement
Assume that you found that the average volume of water required to fill the graduated cylinder to the 8.00 mL mark was 7.95 mL. What is the percent error?
Solution
To calculate the percent error, we use the formula:
In this case:
- The experimental value is the volume of water actually measured, which is mL.
- The theoretical value is the intended or accepted volume, which is mL.
Now, plug in these values to find the percent error:
Let's calculate this:
Since percent error is usually expressed as a positive value, we take the absolute value:
Conclusion:
The percent error in measuring the volume is 0.625%.
Would you like further details or have any questions? Here are some related questions you might consider:
- What are some factors that could cause percent error in a volume measurement?
- How does the precision of the measuring instrument affect the percent error?
- Can percent error be greater than 100%? Under what circumstances?
- How would you minimize errors in a laboratory setting?
- What is the difference between percent error and absolute error?
Tip: Percent error helps to understand how accurate a measurement is compared to the accepted value.
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Math Problem Analysis
Mathematical Concepts
Percent Error
Experimental vs Theoretical Value
Formulas
Percent Error = (|Experimental Value - Theoretical Value| / Theoretical Value) × 100
Theorems
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Suitable Grade Level
Grades 9-12
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