How Do You Calculate Molar Mass from BCC Packing?

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In summary, the conversation discusses the calculation of the molar mass of an element with bcc packing and a density of 862 kg/m^3. The unit cell volume is given as 1.51 x 10-28 m^3 and the desired output is in g/mol with three significant figures. The correct answer is 39.2, but the steps to arrive at this answer are not fully understood. The conversation also briefly touches on the relevance of density packing to the question.
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vipertongn
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Homework Statement



An element has bcc packing with a body-centered cubic unit cell. Its density is 862 kg/m^3 and the unit cell volume is 1.51 x 10-28 m^3. Calculate the molar mass (g/mol) of the element to three significant figures.

Homework Equations



Known: D= 862 kg/m^3, V=1.51 x 10-28 m^3 , MM=??

The Attempt at a Solution



Ok the correct answer is 39.2, but I don't know how to arrive to that answer.

(862kg/m^3)(1.51e-28m^3)(1000g/1kg)(6.022e23atoms/1mol)(1/2 atoms)
(0.68) but instead I get 26.6504.

The 0.68 is the density packing.
 
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  • #2
vipertongn said:
The 0.68 is the density packing.

Are you sure it is relevant to the question?
 
  • #3
ah, htat wasn't required, thanks
 
  • #4
The real question is: do you understand what you did and why?
 
  • #5
Yes, I pretty much converted to the proper units I needed, the only problem was getting the right units.
 

FAQ: How Do You Calculate Molar Mass from BCC Packing?

What is a BCC and how does it relate to calculating molar mass?

A BCC, or body-centered cubic, is a type of crystal structure commonly found in metals. The atoms in a BCC are arranged in a cubic lattice with one atom at the center of each cube. This structure is important in calculating molar mass because it helps determine the number of atoms present in a given amount of substance, which is a key factor in determining molar mass.

How do you calculate molar mass from a BCC?

To calculate the molar mass from a BCC, you first need to determine the number of atoms in the unit cell. This can be done by identifying the number of atoms at the corners and the one at the center of the cube. Then, you multiply the number of each type of atom by its atomic mass and add them together to get the total molar mass of the unit cell.

Can molar mass be calculated for non-metals using a BCC?

Yes, molar mass can be calculated for non-metals using a BCC. However, the crystal structures of non-metals are typically more complicated than a simple BCC, so the calculation may be more complex.

What is the significance of molar mass in chemistry?

Molar mass is an important concept in chemistry because it is used to convert between the mass of a substance and the number of moles of that substance. It is also used in stoichiometric calculations, which are essential in determining the amount of reactants and products in a chemical reaction.

How does the molar mass of a substance relate to its physical and chemical properties?

The molar mass of a substance can affect its physical and chemical properties. For example, substances with higher molar masses tend to have higher boiling and melting points, as well as greater densities. In terms of chemical properties, molar mass can determine the reactivity and behavior of a substance in a reaction.

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