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Percent Error Calculator (Mass)

Percent Error Formula:

\[ \text{Percent Error} = \left( \frac{|\text{Experimental Mass} - \text{Theoretical Mass}|}{\text{Theoretical Mass}} \right) \times 100\% \]

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1. What is a Percent Error Calculator for Mass?

Definition: This calculator determines the percentage difference between an experimental mass measurement and the theoretical or accepted mass value.

Purpose: It helps scientists, engineers, and students quantify the accuracy of their experimental measurements compared to expected values.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ \text{Percent Error} = \left( \frac{|\text{Experimental Mass} - \text{Theoretical Mass}|}{\text{Theoretical Mass}} \right) \times 100\% \]

Where:

Explanation: The absolute difference between experimental and theoretical values is divided by the theoretical value, then multiplied by 100 to get a percentage.

3. Importance of Percent Error Calculation

Details: Percent error helps assess measurement accuracy, identify potential errors in experimental procedures, and validate results against known standards.

4. Using the Calculator

Tips: Enter both mass values in the same units. Theoretical mass must be greater than zero. The calculator automatically handles the absolute value and percentage conversion.

5. Frequently Asked Questions (FAQ)

Q1: What's considered a good percent error?
A: This depends on the field, but generally under 5% is good, under 1% is excellent, and over 10% may indicate significant measurement issues.

Q2: Can percent error be negative?
A: No, the absolute value in the formula ensures the result is always positive.

Q3: What if my theoretical mass is zero?
A: The calculation becomes undefined (division by zero). This suggests a fundamental problem with your experimental design.

Q4: How does this differ from percent difference?
A: Percent error compares to a known value, while percent difference compares two experimental values.

Q5: Should I use mass or weight?
A: For most earth-based applications, mass and weight can be used interchangeably in this calculation (weight being mass × gravity).

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