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A student calculates the density of a substance as 8.0 g/cm³ with an uncertainty
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?
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Practice Questions
1 question
Q1
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?
7.9 g/cm³ to 8.1 g/cm³
8.0 g/cm³ to 8.2 g/cm³
8.0 g/cm³ to 8.1 g/cm³
7.5 g/cm³ to 8.5 g/cm³
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Density range = 8.0 ± 0.1 = 7.9 g/cm³ to 8.1 g/cm³.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution:
Density range = 8.0 ± 0.1 = 7.9 g/cm³ to 8.1 g/cm³.
Steps: 5
Show Steps
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.
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