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

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What’s inside this PDF?

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 absolute error in the volume calculated from this density?

Options:

0.025 cm³
0.1 cm³
0.2 cm³
0.5 cm³

Correct Answer: 0.025 cm³

Solution:

Volume = mass/density; if mass is constant, the absolute error in volume = (mass * absolute error in density) / (density²).

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

Practice Questions

If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the absolute error in the volume calculated from this density?

0.025 cm³
0.1 cm³
0.2 cm³
0.5 cm³

Questions & Step-by-Step Solutions

If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.2 g/cm³, what is the absolute error in the volume calculated from this density?

Step 1: Understand that density is mass divided by volume. The formula is Density = Mass / Volume.
Step 2: Rearrange the formula to find Volume. Volume = Mass / Density.
Step 3: Identify the given values: Density = 8.0 g/cm³ and the uncertainty (absolute error) in density = ±0.2 g/cm³.
Step 4: Recognize that if mass is constant, the absolute error in volume can be calculated using the formula: Absolute Error in Volume = (Mass * Absolute Error in Density) / (Density²).
Step 5: Substitute the values into the formula. You need to know the mass to calculate the absolute error in volume.
Step 6: Calculate the absolute error in volume using the values you have.

Density and Volume Relationship – Understanding how density relates to volume and mass, and how to calculate volume from density.
Absolute Error Calculation – Applying the formula for absolute error in derived quantities, specifically in the context of volume derived from density.

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

What’s inside this PDF?

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

Practice Questions

Questions & Step-by-Step Solutions

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