What is the Value of Avogadro's Number for Ru in hcp Packing?

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In summary, the conversation discusses the calculation of Avogadro's number based on the density and cell volume of the element Ru, which has a hexagonal unit cell with hcp packing. The individual attempted a solution using the given data and the number of atoms per unit cell, but encountered an error and questioned the accuracy of the number of atoms in hcp packing. A source was referenced but did not provide a clear answer.
  • #1
vipertongn
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Homework Statement



The element Ru has hcp packing with a hexagonal unit cell. The density of Ru is 12410 kg/m^3 and the cell volume is 2.711 x 10-23 mL. Calculate the value of Avogadro's number to three significant figures based on these data. (Note: the value may differ from the tabular value).

Homework Equations



D= 12410 kg/m^3 , V= 2.711 x 10-23 mL

The Attempt at a Solution



6 atoms (m^3/12410 kg)(1/2.711e-23 mL)(1000 mL/1 L)(1 L/0.001 m^3)(1 kg/1000g)(101.07 g/1 mol)

I end up with 1.80e24 which is 3x the true value...this method works for every other structure but the hcp
 
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  • #2
Are you sure it is six atoms per unit cell?
 
  • #3
I was told that for the base its 2 for simple its 1 and for face its 4, but hcp no one told me except for a tutor and he said it was 6. Is it wrong?
 
  • #4
http://www.chem.ox.ac.uk/icl/heyes/structure_of_solids/lecture1/Lec1.html
 
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Related to What is the Value of Avogadro's Number for Ru in hcp Packing?

1. What is Avogadro's Number?

Avogadro's Number, also known as the Avogadro Constant, is a physical constant that represents the number of particles (atoms or molecules) in one mole of a substance. It is approximately equal to 6.022 x 10^23.

2. How is Avogadro's Number calculated?

Avogadro's Number is calculated by dividing the number of particles in a given sample by the amount of substance in moles. This can be done by using the formula: Avogadro's Number = Number of particles / Amount of substance in moles.

3. What is the significance of Avogadro's Number?

Avogadro's Number is significant because it allows us to relate the microscopic world of atoms and molecules to the macroscopic world of measurable quantities. It is also used in various calculations, such as determining the molar mass of a substance and converting between moles and particles.

4. How was Avogadro's Number first determined?

Avogadro's Number was first determined by Italian scientist Amedeo Avogadro in the early 19th century. He proposed that equal volumes of different gases at the same temperature and pressure contain the same number of particles. This led to the development of the concept of the mole and the calculation of Avogadro's Number.

5. Why is it important to accurately calculate Avogadro's Number?

Accurately calculating Avogadro's Number is important because it is used in many scientific calculations and experiments, such as in chemistry and physics. It also helps us understand the properties and behavior of matter at the atomic and molecular level.

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