Final answer:
The percent error in the measurement is found by taking the absolute error between the accepted value (75.00 mL) and the measured value (74.54 mL), dividing by the accepted value, and then multiplying by 100, resulting in an approximate percent error of 0.61%.
Step-by-step explanation:
To calculate the percent error in the measurement, we use the formula:
Percent Error = ((|Accepted Value - Measured Value|) / Accepted Value) x 100
Given that the accepted volume is 75.00 mL and the measured value is 74.54 mL:
Percent Error = ((|75.00 - 74.54|) / 75.00) x 100 = (0.46 / 75.00) x 100 = 0.613%
Therefore, the percent error in the measurement is approximately 0.613%.
To calculate the percent error in the measurement of a sphere's volume, first identify the absolute difference between the accepted value and the measured value, then divide it by the accepted value and multiply by 100 to get the percentage. Using the values provided, the student found a measured volume of 74.54 mL against an accepted volume of 75.00 mL.
The absolute error is calculated as follows:
- Absolute error = |Accepted value - Measured value| = |75.00 mL - 74.54 mL| = 0.46 mL
To find the percent error, we use the formula:
- Percent error = (Absolute error ÷ Accepted value) × 100%
- Percent error = (0.46 mL ÷ 75.00 mL) × 100% ≈ 0.61%
Therefore, the percent error in the measurement is approximately 0.61%.