The density of NaCl (an fcc crystal) is 2.16 g/cm3. Find the distance that ions are...

The density of NaCl (an fcc crystal) is 2.16 g/cm3. Find the distance that ions are from their nearest neighbors.

Expert Solution

We know density , d = (Z x atomic mass) / ( N_o x a³ x 10^-30 cm³ )

Where Z = No . of atoms in a unit cell = 4 Since it is a fcc structure

atomic mass of NaCl = 23+35.5 = 58.5

N_o = avagadro number = 6.023x10²³

a = edge length = in pm

d = density = 2.16 g/cm³

PLug the values we get

( N_o x a³ x 10^-30 cm³ ) = (Z x atomic mass) / d

= (4x58.5 )/ 2.16

= 108.3

a³ = 179.87x10⁶

a = 564.5 pm

Therefore the distance that ions are from their nearest neighbors is 564.5 pm

queen_honey_blossom answered 4 hours ago

If you add a 1 cm3 (1 ml) cube of salt (density 2.16 g/cm3) to 10...

If you add a 1 cm3 (1 ml) cube of salt (density 2.16 g/cm3) to 10 ml of water (1 g/cm3) what is a reasonable total volume? If you add a 1 cm3 (1 ml) cube of salt (density 2.16 g/cm3) to 10 ml of water (1 g/cm3) what is a reasonable final density? If you add a 1 cm3 (1 ml) cube of salt (density 2.16 g/cm3) to 10 ml of water (1 g/cm3) what is a reasonable final...

lithium fluoride (LiF) has a density of 2.635 g/cm^3 and the same crystal structure as NaCl....

lithium fluoride (LiF) has a density of 2.635 g/cm^3 and the same crystal structure as NaCl. Lithium has a mass of 6.941 amu and Fluorine has a mass of 18.9984903 amu. amu means atomic mass unit which is 1.66x10^-27 kg. > what is the average spacing between adjacent atoms in LiF crystal?

The separation between neighboring Na+ and Cl- ions in crystal of NaCl is 0.281 nm, whilst...

The separation between neighboring Na+ and Cl- ions in crystal of NaCl is 0.281 nm, whilst the separation between neighboring Na ions in metallic sodium is 0.372 nm. Given that the ionic radius of Cl- is 0.181 nm, determine the radius of the Na+ ions in each case. Explain why the values are different.

A 76.00-pound flask of mercury costs $138.50 The density of mercury is 13.534 g/cm3. a) Find...

A 76.00-pound flask of mercury costs $138.50 The density of mercury is 13.534 g/cm3. a) Find the price of one cubic inch of mercury by calculating the following intermediate values. Find the price of one cubic inch of mercury by calculating the following immediate value. A) What is the price of one pound of mercury? B)What is the price of one gram of mercury? C)What is the price of one cubic centimeter of mercury? D)What is the price of one...

A 76.00-pound flask of mercury costs $160.00. The density of mercury is 13.534 g/cm3. a) Find...

A 76.00-pound flask of mercury costs $160.00. The density of mercury is 13.534 g/cm3. a) Find the price of one cubic inch of mercury by calculating the following intermediate values. What is the price of one pound of mercury? What is the price of one gram of mercury? What is the price of one cubic centimeter of mercury? What is the price of one cubic inch of mercury? b) It takes 5.000 cubic inches of mercury to make one manometer....

Derive linear density expressions for FCC [100] and [110] directions in terms of the “fraction distance...

Derive linear density expressions for FCC [100] and [110] directions in terms of the “fraction distance occupied

A 10.3 g wire has a density of 5.9 g/cm3 and a resistivity of 1.51 ×...

A 10.3 g wire has a density of 5.9 g/cm3 and a resistivity of 1.51 × 10−7 Ω · m . The wire has a resistance of 106 Ω . How long is the wire? The wire is made up of atoms with molecular mass 48 g/mol. What is the drift speed of the electrons when there is a voltage drop of 243.8 V across the wire? Assume there is one conduction electron per atom. The fundamental charge is 1.602...

1.453 moles of a metal with a density of 10.49 g / cm3 (STP) and a...

1.453 moles of a metal with a density of 10.49 g / cm3 (STP) and a temperature of 23.35oF, is placed in a calorimeter isolated from the environment that contains 87.35mL of pure ethanol (density 0.9988 g / mL) and that is at 50.50oF. a) Determine the equilibrium temperature of the system.

5. Explain how density is affected by crystal shape, i.e., BCC or FCC. 6. Why would...

5. Explain how density is affected by crystal shape, i.e., BCC or FCC. 6. Why would you temper material such as steel? If not tempered, how does that influence its likely failure, what will happen? 7. What does a TTT diagram presentation, explain how it is used to determine the material property after cooling. 8. What are the advantages and disadvantages of case hardening and Nitriding?

The density of a 10 kg cube of silver is 10.5 g/cm3. What would the density...

The density of a 10 kg cube of silver is 10.5 g/cm3. What would the density of a 5 kg cube of silver be? I thought the answer would be 5.25 g/cm^3 because m1/m2=p1/p2 so 10kg/5kg=10.5 g/cm^3/ x and you solve for x. But this is coming up as wrong and I don't know why, do i need to convert the kg to g???

Question