Mass Accuracy Calculator:
Enter the values of measured mass, mm(g) and expected mass, em(g) to determine the value of Mass Accuracy, A.
Mass Accuracy Formula:
Mass accuracy refers to the precision with which the mass of an object or substance is determined or measured. It indicates how close the measured mass is to the true or expected mass, expressed as a percentage.
This is crucial in fields such as manufacturing, pharmaceuticals, and materials science, where the accuracy of measurements affects product quality and performance. The accuracy of mass measurement can be influenced by various factors including instrument calibration, environmental conditions (such as temperature and humidity), and the method of measurement.
The formula used to calculate mass accuracy involves comparing the measured mass (mm) of an object to its expected or true mass (em). The difference between the two is expressed as a percentage relative to the expected mass, showing how close or far off the measured value is from the true value.
Mass Accuracy, A in percentage subtract the absolute difference between the measured mass, mm(g) in grams and the expected mass, em(g) in grams from 100, then divide by the expected mass, em(g) and multiply by 100 to express it as a percentage.
Mass Accuracy, A = 100 – ∣mm(g) – em(g)∣ * 100
A = mass accuracy.
mm(g) = measured mass in grams, g.
em(g) = expected mass in grams, g.
Mass Accuracy Calculation:
- Suppose the measured mass of a substance is 102 grams, and the expected mass is 100 grams. Find the mass accuracy.
Given: mm(g) = 102g, em(g) = 100g.
Mass Accuracy, A = 100 – ∣mm(g) – em(g) / em(g) ∣ * 100
A = 100 – ∣102 – 100/ 100∣ * 100
A = 100 – (0.02 * 100)
A = 98%.
- Given the mass accuracy and expected mass, we can determine the measured mass. Suppose the mass accuracy is 95%, and the expected mass is 200 grams. Find the measured mass.
Given: A = 95%, em(g) = 200g.
Mass Accuracy, A = 100 – ∣mm(g) – em(g) / em(g) ∣ * 100
95 = 100 – ∣mm(g) – 200 / 200∣ * 100
5 = ∣mm(g) – 200 / 200∣ * 100
0.05 = ∣mm(g) – 200 / 200∣
Case 1: ∣mm(g) – 200 / 200∣ = 0.05
mm(g) = 210g.
Case 1: ∣mm(g) – 200 / 200∣ = – 0.05
mm(g) = 190g.
Thus, the measured mass (mm) can be either:
- 190 grams (when the measured mass is slightly less than the expected mass), or
- 210 grams (when the measured mass is slightly greater than the expected mass).