The pyknometric density of sodium chloride crystal is 2.165× 10^3 kgm^-3 while its x ray density is 2.178×10^3 kgm^-3 . the fraction of unoccupied sites in sodium chloride crystal is 1. 5.962. 5.96×10^-23. 5.96 ×10^-14. 5.96 ×10^-3

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Fraction occupied=pyknometric density / x-ray density =2.165*10power3 / 2_178*10power3 = 0.994.     Then fraction unoccupied= 1-0.994 = 5.96*10power-3

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Fraction occupied =pyknometricdensity/xray density=2.165×10^3/2.178×10^3->fraction occupied =0.994Fraction unoccupied=1-0.994=0.006~~5.96×10^-3HOPE U GOT IT..@daimondcastle.song907 is absolutely crct....u r welcome princess...

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Thanks hardik

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4

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The fraction of unoccupied sites in a crystal can be determined using the pyknometric density and the x-ray density. Let's break down the calculations and understand the steps involved.

1. Understanding the concept:
In a crystal lattice, there are both occupied and unoccupied sites. The density of the crystal can be measured using two different methods - pyknometric density and x-ray density. The pyknometric density considers all the sites (occupied and unoccupied) in the crystal, while the x-ray density only considers the occupied sites.

2. Given data:
Pyknometric density of sodium chloride crystal = 2.165 × 10^3 kgm^-3
X-ray density of sodium chloride crystal = 2.178 × 10^3 kgm^-3

3. Calculating the fraction of unoccupied sites:
To find the fraction of unoccupied sites, we need to subtract the x-ray density from the pyknometric density and then divide it by the pyknometric density.

Fraction of unoccupied sites = (Pyknometric density - X-ray density) / Pyknometric density

4. Calculating the difference between densities:
(Pyknometric density - X-ray density) = (2.165 × 10^3 kgm^-3 - 2.178 × 10^3 kgm^-3)

5. Simplifying the calculation:
(2.165 × 10^3 kgm^-3 - 2.178 × 10^3 kgm^-3) = -0.013 × 10^3 kgm^-3 = -13 kgm^-3

6. Dividing by pyknometric density:
Fraction of unoccupied sites = -13 kgm^-3 / 2.165 × 10^3 kgm^-3

7. Simplifying the calculation:
-13 kgm^-3 / 2.165 × 10^3 kgm^-3 = -0.006 = -6 × 10^-3

8. Converting the fraction to a positive value:
Since the fraction cannot be negative, we take the absolute value of the result:

Fraction of unoccupied sites = | -6 × 10^-3 | = 6 × 10^-3

9. Scientific notation:
6 × 10^-3 can be written as 6.0 × 10^-3 or 6.0 × 10^-3 = 6.0 × 10^-3.

Therefore, the fraction of unoccupied sites in the sodium chloride crystal is 6.0 × 10^-3 or 5.96 × 10^-3.

In summary, the fraction of unoccupied sites in the sodium chloride crystal is 5.96 × 10^-3.

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