Question
1. An experiment measured 45 mL , but the actual value is 50 mL . What is the percent error? \( \begin{array}{llll}\text { a) } 10 \% & \text { b) } 9 \% & \text { c) } 12.5 \% & \text { d) } 5 \%\end{array} \)
Ask by Olson Johnston. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The percent error is 10%.
Solution
To calculate the percent error, we can use the formula:
\[
\text{Percent Error} = \left( \frac{|\text{Measured Value} - \text{Actual Value}|}{\text{Actual Value}} \right) \times 100
\]
Given:
- Measured Value = 45 mL
- Actual Value = 50 mL
Now, let's calculate the percent error step by step.
1. Calculate the absolute error:
\[
|\text{Measured Value} - \text{Actual Value}| = |45 - 50| = 5
\]
2. Divide the absolute error by the actual value:
\[
\frac{5}{50} = 0.1
\]
3. Multiply by 100 to get the percent error:
\[
0.1 \times 100 = 10\%
\]
Thus, the percent error is \(10\%\).
The correct answer is **a) 10%**.
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Simplify this solution Bonus Knowledge
To find the percent error, use the formula: \[ \text{Percent Error} = \left( \frac{\text{Actual Value} - \text{Measured Value}}{\text{Actual Value}} \right) \times 100 \] Substituting in the values: \[ \text{Percent Error} = \left( \frac{50 \, \text{mL} - 45 \, \text{mL}}{50 \, \text{mL}} \right) \times 100 = \left( \frac{5 \, \text{mL}}{50 \, \text{mL}} \right) \times 100 = 10\% \] So the answer is **a) 10%**! It's always good practice to double-check calculations when it comes to percent errors. A common mistake is misreading the values or applying the formula incorrectly. Remember to focus on the actual value as the denominator to get accurate results!
