A student calculates the density of a substance as 8.0 g/cm³ with an uncertainty

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Question: A student calculates the density of a substance as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³. What is the density range?

Options:

Correct Answer: 7.9 g/cm³ to 8.1 g/cm³

Solution:

Density range = 8.0 ± 0.1 = 7.9 g/cm³ to 8.1 g/cm³.

A student calculates the density of a substance as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³. What is the density range?

A student calculates the density of a substance as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³. What is the density range?

Step 1: Identify the calculated density, which is 8.0 g/cm³.
Step 2: Identify the uncertainty, which is ±0.1 g/cm³.
Step 3: To find the lower limit of the density range, subtract the uncertainty from the calculated density: 8.0 g/cm³ - 0.1 g/cm³ = 7.9 g/cm³.
Step 4: To find the upper limit of the density range, add the uncertainty to the calculated density: 8.0 g/cm³ + 0.1 g/cm³ = 8.1 g/cm³.
Step 5: Combine the lower and upper limits to express the density range: 7.9 g/cm³ to 8.1 g/cm³.

Density Calculation – Understanding how to calculate density and interpret uncertainty in measurements.
Uncertainty in Measurements – Recognizing how to apply uncertainty to determine a range of values.