Question

Which combinations of errors will result in the smallest density?

a.Mass+0.1 g /Volume+0.1 mL
b.Mass+0.1 g /Volume-0.1 mL
c.Mass-0.1 g /Volume-0.1 mL
d.Mass-0.1 g /Volume 101 mL

Answer 1

The smallest density would be achieved by having the smallest mass combined with the largest volume, which is represented by Option d: Mass-0.1 g /Volume 101 mL.

Step-by-step explanation:

The question asks which combinations of errors will result in the smallest density. Density is calculated by dividing mass by volume. To have the smallest density, we want the smallest mass and the largest volume.

• Option a: Mass+0.1 g /Volume+0.1 mL - Increases both mass and volume, but this does not make the smallest density.
• Option b: Mass+0.1 g /Volume-0.1 mL - Increases mass and decreases volume, which results in an increased density.
• Option c: Mass-0.1 g /Volume-0.1 mL - Decreases both mass and volume, but this combination may not yield the smallest density.
• Option d: Mass-0.1 g /Volume 101 mL - Decreases mass while significantly increasing volume, which would result in the smallest density.

Therefore, the correct answer is Option d, where the mass is decreased by 0.1 g and the volume is increased to 101 mL, producing the smallest possible density.