There are
titantium atoms in the cube.
<h3>
Further Explanation</h3>
This problem involves unit conversion and mole conversion. The steps are:
- Convert the length of the cube from inches to centimeter since the density is given in g/cm³.
- Determine the mass of the cube using the given density.
- Convert the mass of the cube to number of atoms using Avogadro's number.
<u>STEP 1. </u>Converting inches to cm
![length \ in \ cm \ = 2.84 \ in \times (\frac{2.54 \ cm}{1 \ in})\\\boxed {length \ in \ cm \ = 7.2136 \ cm}](https://tex.z-dn.net/?f=length%20%5C%20in%20%5C%20cm%20%5C%20%3D%202.84%20%5C%20in%20%5Ctimes%20%28%5Cfrac%7B2.54%20%5C%20cm%7D%7B1%20%5C%20in%7D%29%5C%5C%5Cboxed%20%7Blength%20%5C%20in%20%5C%20cm%20%5C%20%3D%207.2136%20%5C%20cm%7D)
<u>STEP 2:</u> Determining mass of cube from the density
![density = \frac{mass}{volume}\\mass = density \times \ volume\\\\mass \ = 4.50 \frac{g}{cm^3} \times (7.2136 \ cm)^3\\\boxed {mass \ = 1689.15 \ g}](https://tex.z-dn.net/?f=density%20%3D%20%5Cfrac%7Bmass%7D%7Bvolume%7D%5C%5Cmass%20%3D%20density%20%5Ctimes%20%5C%20volume%5C%5C%5C%5Cmass%20%5C%20%3D%204.50%20%5Cfrac%7Bg%7D%7Bcm%5E3%7D%20%5Ctimes%20%287.2136%20%5C%20cm%29%5E3%5C%5C%5Cboxed%20%7Bmass%20%5C%20%3D%201689.15%20%5C%20g%7D)
<u>STEP 3:</u> Converting mass of titanium cube to number of atoms
![no. \ of \ Ti \ atoms = 1689.15 \ g \ Ti \times (\frac{1 \ mol \ Ti}{47.867 \ g})(\frac{6.022 \times 10^{23} \ Ti \ atoms}{1 \ mol \ Ti}) \\\\\boxed {no. \ of \ Ti \ atoms = 2.125 \times 10^{25} \ atoms}](https://tex.z-dn.net/?f=no.%20%5C%20of%20%5C%20Ti%20%5C%20atoms%20%3D%201689.15%20%5C%20g%20%5C%20Ti%20%5Ctimes%20%28%5Cfrac%7B1%20%5C%20mol%20%5C%20Ti%7D%7B47.867%20%5C%20g%7D%29%28%5Cfrac%7B6.022%20%5Ctimes%2010%5E%7B23%7D%20%5C%20Ti%20%5C%20atoms%7D%7B1%20%5C%20mol%20%5C%20Ti%7D%29%20%5C%5C%5C%5C%5Cboxed%20%7Bno.%20%5C%20of%20%5C%20Ti%20%5C%20atoms%20%3D%202.125%20%5Ctimes%2010%5E%7B25%7D%20%5C%20atoms%7D)
Since the given values have 3 significant figures, the final answer must be:
![\boxed {\boxed {no. \ of \ atoms \ = 2.12 \times 10^{25} \ Ti \ atoms}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7Bno.%20%5C%20of%20%5C%20atoms%20%5C%20%3D%202.12%20%5Ctimes%2010%5E%7B25%7D%20%5C%20Ti%20%5C%20atoms%7D%7D)
<h3>Learn More</h3>
Keywords: Avogadro's number
Answer: D. test tubes, thermometers, etc
I think this is the correct answer. Sorry if it is not.
Explanation:
Sissy imposter among us haha
I believe that the best answer for this question is that the scanning tunneling microscope allowed scientists to create pictures of individual atoms. The scanning tunneling microscope is able to image surfaces' atoms. Its invention in 1981 was so monumental that it led to its creators winning the Nobel Prize in Physics. Hope this helps.