If the density of a substance is calculated as 8.0 g/cm³ with an uncertainty of
Practice Questions
Q1
If the density of a substance is calculated as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the relative uncertainty?
0.025
0.02
0.005
0.01
Questions & Step-by-Step Solutions
If the density of a substance is calculated as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the relative uncertainty?
Step 1: Identify the absolute uncertainty, which is given as ±0.2 g/cm³.
Step 2: Identify the density value, which is given as 8.0 g/cm³.
Step 3: Use the formula for relative uncertainty: relative uncertainty = (absolute uncertainty / density).
Step 4: Substitute the values into the formula: relative uncertainty = 0.2 g/cm³ / 8.0 g/cm³.
Step 5: Calculate the result: 0.2 divided by 8.0 equals 0.025.
Density Calculation – Understanding how to calculate density and its associated uncertainties.
Relative Uncertainty – The concept of relative uncertainty as a measure of the uncertainty of a measurement relative to the size of the measurement itself.
Absolute Uncertainty – The fixed amount of uncertainty in a measurement, which is used to calculate relative uncertainty.
