If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0

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Question: If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the range of possible densities?

Options:

Correct Answer: 7.8 to 8.2 g/cm³

Solution:

Range = 8.0 ± 0.2 gives 7.8 to 8.2 g/cm³.

If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the range of possible densities?

If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the range of possible densities?

Step 1: Identify the measured density, which is 8.0 g/cm³.
Step 2: Identify the uncertainty, which is ±0.2 g/cm³.
Step 3: To find the lower limit of the density, subtract the uncertainty from the measured density: 8.0 g/cm³ - 0.2 g/cm³ = 7.8 g/cm³.
Step 4: To find the upper limit of the density, add the uncertainty to the measured density: 8.0 g/cm³ + 0.2 g/cm³ = 8.2 g/cm³.
Step 5: Combine the lower and upper limits to express the range of possible densities: 7.8 g/cm³ to 8.2 g/cm³.

Density Measurement – Understanding how to interpret density values and their uncertainties.
Uncertainty in Measurements – Calculating the range of values based on a central measurement and its associated uncertainty.