What is the best answer for the radius of a spherical atom?
Images:
This image has been Flagged as inappropriate
Click to unflag
- print Print
- list Cite
Expert Answers
pnrjulius
| Certified Educator
calendarEducator since 2016
write550 answers
starTop subjects are History, Science, and Business
By definition, density is mass divided by volume, `D = m/V` , so if we are given the mass and density, we can solve for the volume by `V = m/D` .
The density is `1.0*10^14 g/cm^3` and the mass is `2.0*10^-23 g` .
`V = m/D = (2.0*10^-23 g)/(1.0*10^14 g/cm^3) = 2.0*10^-37 cm^3`
We're told to assume the atom is spherical, so we can get the radius by using the volume formula for a sphere, `V = 4/3 pi r^3`, which we solve for r to get `r = (V/(4/3pi))^(1/3)`.
`r = ((2.0*10^-37 cm^3)/(4/3 pi))^(1/3) = (4.775*10^37 cm^3)^(1/3) = 3.628*10^-13 cm.`
The result is `3.6*10^-13 cm`, which is choice A.
Related Questions
- What is the atomic radius for the element fluorine?
- 2 Educator Answers
- Arrange O, F, and S in order of increasing atomic radius. Explain using the following terms:...
- 1 Educator Answer
- What is the definition of the principal axis of a spherical mirror?
- 1 Educator Answer
- Within a group of elements, as the atomic number increases, the atomic radius does what. (ie:...
- 1 Educator Answer
- What do you think happens to atomic radius size of a cations and why?
- 1 Educator Answer