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Answer:
V₂ = 12.5 mL
Explanation:
Given data:
Initial volume = 100.0 mL
Initial pressure = 50.0 KPa
Final volume = ?
Final pressure = 400.0 KPa
Solution:
The given problem will be solved through the Boyle's law,
"The volume of given amount of gas is inversely proportional to its pressure by keeping the temperature and number of moles constant"
Mathematical expression:
P₁V₁ = P₂V₂
P₁ = Initial pressure
V₁ = initial volume
P₂ = final pressure
V₂ = final volume
Now we will put the values in formula,
P₁V₁ = P₂V₂
50.0 KPa × 100.0 mL = 400 KPa × V₂
V₂ = 5000 KPa.mL/ 400 KPa
V₂ = 12.5 mL
This is an incomplete question, the given sketch is shown below.
Answer : The name of given unit cell is, FCC (face-centered cubic unit cell)
Explanation :
Unit cell : It is defined as the smallest 3-dimensional portion of a complete space lattice which when repeated over the and again in different directions produces the complete space lattice.
There are three types of unit cell.
- SCC (simple-centered cubic unit cell)
- BCC (body-centered cubic unit cell)
- FCC (face-centered cubic unit cell)
In SCC, the atoms are arranged at the corners.

The number of atoms of unit cell = Z = 1
In BCC, the atoms are arranged at the corners and the body center.

The number of atoms of unit cell = Z = 2
The given unit cell is, FCC because the atoms are arranged at the corners and the center of the 6 faces.

The number of atoms of unit cell = Z = 4
Thus, the name of given unit cell is, FCC (face-centered cubic unit cell)
Answer:
Explanation
Hardness has been defined the level of difficulty with a smooth surface of a mineral may be scratched. The hardness of a mineral species is upon the strength of the bonds which compose its crystal structure Hardness is measured of how easily a material can be scratched or indented Hard materials are often very brittle.