Percentage Error Formula:
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Definition: This calculator determines the percentage difference between an experimentally measured value and the true or theoretical value.
Purpose: It helps chemistry students and researchers quantify the accuracy of their experimental results compared to expected values.
The calculator uses the formula:
Where:
Explanation: The absolute difference between experimental and theoretical values is divided by the theoretical value, then multiplied by 100 to get a percentage.
Details: Percentage error helps assess experimental accuracy, identify potential errors, and improve laboratory techniques. Lower percentage errors indicate more accurate results.
Tips: Enter both experimental and theoretical values. Theoretical value cannot be zero (division by zero is undefined). Values can be positive or negative.
Q1: What's considered a good percentage error in chemistry?
A: This depends on the experiment, but generally <5% is good, <1% is excellent for most undergraduate chemistry labs.
Q2: Can percentage error be negative?
A: No, the absolute value ensures percentage error is always positive (0-100% range).
Q3: How is this different from percent difference?
A: Percent error compares to a known value, while percent difference compares two experimental values.
Q4: What causes high percentage errors?
A: Measurement inaccuracies, equipment limitations, human error, or incomplete reactions can contribute.
Q5: Should I worry about a 0% error?
A: Surprisingly yes - this might indicate data fabrication or that error sources weren't properly considered.