<span>Convert angstroms to nm for atom diameter
2.18/10=.218 nm. Divide diameter by length width and height.
63.6/.218=292
74.2/.218=327
275/.218=1261
Multiply these to get volume of atoms
120,037,500
Convert atoms to moles using Avogadro number
120,037,500/6.02*10^23=2*10^-16 moles</span>
Answer:
2.11eV
Explanation:
We know that speed of light is it's wavelength times frequency.
![\therefore f=v/\lambda\\=(3\times10^8m/s)/(589mm\times1m/1\times 10^9nm)\\=5.09\times10^1^4s^-1 \ or \ 5.09\times10^1^4Hz](https://tex.z-dn.net/?f=%5Ctherefore%20f%3Dv%2F%5Clambda%5C%5C%3D%283%5Ctimes10%5E8m%2Fs%29%2F%28589mm%5Ctimes1m%2F1%5Ctimes%2010%5E9nm%29%5C%5C%3D5.09%5Ctimes10%5E1%5E4s%5E-1%20%5C%20or%20%5C%205.09%5Ctimes10%5E1%5E4Hz)
Planck's constant is ![6.626\times 10^3^4Js](https://tex.z-dn.net/?f=6.626%5Ctimes%2010%5E3%5E4Js)
The energy gap is calculated by multyplying the light's frequency by planck's constant:
![E_c=5.09\times10^1^4s^-^1\times 6.626\times10^-^3^4Js\\\\=3.37\times 10^-^1^9J \ \ \ \ \ \ #1eV=1.06\times 10^-^1^9J\\\\=2.11eV](https://tex.z-dn.net/?f=E_c%3D5.09%5Ctimes10%5E1%5E4s%5E-%5E1%5Ctimes%206.626%5Ctimes10%5E-%5E3%5E4Js%5C%5C%5C%5C%3D3.37%5Ctimes%2010%5E-%5E1%5E9J%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%231eV%3D1.06%5Ctimes%2010%5E-%5E1%5E9J%5C%5C%5C%5C%3D2.11eV)
Hence, the energy gap is 2.11eV
Density
is a value for mass, such as kg, divided by a value for volume, such as m3.
Density is a physical property of a substance that represents the mass of that
substance per unit volume. It is a property that can be used to describe a
substance.<span> </span><span>It has standard units of
kg/m^3 or g/mL.
So, the best answer is option C.</span>