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If the density of a substance is calculated as 8.0 g/cm³ with an uncertainty of
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?
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Practice Questions
1 question
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
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Relative uncertainty = (absolute uncertainty / density) = 0.2 / 8.0 = 0.025.
Questions & Step-by-step Solutions
1 item
Q
Q: 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?
Solution:
Relative uncertainty = (absolute uncertainty / density) = 0.2 / 8.0 = 0.025.
Steps: 5
Show Steps
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.
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