The mass of a metal ball bearing is 0.3062 g and the volume is 0.0270 cm3. What is the density?

Question

BlackTom AI · Accepted Answer

To find density, use the formula density = mass / volume.

First, note the given values: mass = 0.3062 g and volume = 0.0270 cm3. The number of significant figures in the quotient is limited by the factor with the fewest significant figures.

- Mass has 4 significant figures (0.3062).
- Volume has 3 significant figures (0.0270).
Therefore, the result should be reported with 3 significant figures.

Now compute the division: 0.3062 g ÷ 0.0270 cm3 ≈ 11.344... g/cm3.
Rounding to 3 significant figures gives 11.3 g/cm3.

Evaluating the answer choices:
- 0.08818 cm3 is a volume, not a density, so it is incorrect.
- 11.34 g/cm3 has 4 significant figures, which is not consistent with the 3 sig figs allowed by the given measurements.
- 11.3 g/cm3 aligns with the correct calculation and appropriate significant figures.
- 0.0882 cm3 is again a volume, not a density, so it is incorrect.

Thus, the correct choice is the one that matches both the calculated value and the proper significant figure rule, while the others either misstate the quantity or overstate precision.

HonNxtGenChem A HNGC Module 1 Practice Quiz #4- Multiplying and Dividing with Significant Figures

The mass of a metal ball bearing is 0.3062 g and the volume is 0.0270 cm3. What is the density?

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HonNxtGenChem A HNGC Module 1 Practice Quiz #4- Multiplying and Dividing with Significant Figures

The mass of a metal ball bearing is 0.3062 g and the volume is 0.0270 cm3. What is the density?

查看解析

登录即可查看完整答案

类似问题

​Because freshwater is denser than seawater, seawater floats on top of freshwater.

Question at position 3 The key property that determines whether fluid (air or water) sinks or rises is _________.densitycolorsound

The density of gold is 19.32 g/cm3. What is the mass of a bar of gold measuring 4.50 cm by 2.50 cm by 6.50 cm?

Which one of the following substances will float in gasoline, which has a density of 0.66 g/mL?

In 2017, approximately 7.7 x 108 kg polyethylene terephthalate (PET) bottles were collected through recycling programs and sold, either to domestic or foreign markets. If the density of PET is 1350 kg/m3, the volume of PET that was recycled in 2017 was _________ m3.

2. A plastic container has a mass of 62 g and a volume of 44.3 cm3. a. What is the density of the plastic container in g/cm3?

更多留学生实用工具

希望你的学习变得更简单

Because freshwater is denser than seawater, seawater floats on top of freshwater.