If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0
Practice Questions
Q1
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.
