How many atoms are in a given mass of metal?

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SUMMARY

To determine the number of atoms in a given mass of elemental metal cubes, utilize the concept of atomic mass alongside Avogadro's number. The calculation involves dividing the mass of the metal cube by the atomic mass of the specific metal, then multiplying by Avogadro's number (6.022 x 1023 atoms/mole). The atomic packing does not affect the number of atoms; it only influences the volume. Knowing the specific metal is crucial for accurate calculations.

PREREQUISITES
  • Understanding of atomic mass and its significance in chemistry
  • Familiarity with Avogadro's number (6.022 x 1023)
  • Knowledge of how to measure mass accurately
  • Access to a periodic table for atomic mass values
NEXT STEPS
  • Research how to calculate atomic mass from a periodic table
  • Learn about the concept of moles in chemistry
  • Explore the differences in atomic packing between various metals
  • Investigate the relationship between density, mass, and volume in solids
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Chemistry students, laboratory technicians, and anyone conducting experiments involving elemental metals and atomic calculations.

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I have some metal samples pure(ish) and want to know the number of atoms in each sample.
Hi all,

This may be simple chemistry, but I haven’t engaged this topic for a very long time.

I have an experiment where I need to measure the masses of some elemental (99%pure) metal cubes and I also want to know how many atoms of each element there are within them.

From memory, Avogadro’s number would be used, but from my understanding, does it not assume the same form of atomic packing in each metal sample?

How can I figure out the number of atoms in each metal sample cube?

Regards,
Adam
 
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Jetstream said:
Summary:: I have some metal samples pure(ish) and want to know the number of atoms in each sample.

Hi all,

This may be simple chemistry, but I haven’t engaged this topic for a very long time.

I have an experiment where I need to measure the masses of some elemental (99%pure) metal cubes and I also want to know how many atoms of each element there are within them.

From memory, Avogadro’s number would be used, but from my understanding, does it not assume the same form of atomic packing in each metal sample?

How can I figure out the number of atoms in each metal sample cube?

Regards,
Adam
Welcome to PF. :smile:

It's been a long time for me too working this kind of problem, but I think I would use the concept of atomic mass:

https://en.wikipedia.org/wiki/Atomic_mass
 
Mass of cube / mass of atom would give you an answer.
 
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Jetstream, any packing would only affect volume. Your question does not go into density nor volume. You will use atomic mass values and Avogadro's Number.
 
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Jetstream said:
How can I figure out the number of atoms in each metal sample cube?
What information do you have to start with? You say you will measure the masses of each cube, but what else do you know? Do you know what kind of metal each cube is made of, or are you supposed to figure that out too?
 
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PeterDonis said:
What information do you have to start with?
Yes. That's essential to know. If you know the element then you can easily find out the atomic mass (tables of chemical elements). The number of atoms is like the sweets in a jar.
symbolipoint said:
You will use atomic mass values and Avogadro's Number.
I think that wouldn't be necessary (see above). You can use Avogadro for the mass of a given volume of gas (converted for STP) because a Mole of gas at STP takes up 22.4l of volume. (remembered from school but I think it's right.) But solids pack differently.

Question needs to be specified more completely I think.
 
We teach that Avogadro # is the number of particles in 1 mole. How it is packaged is irrelevant.
 
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