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how can you determine the atomic mass of an unknow...

Question:
How can you determine the atomic mass of an unknown metal if you know its density and the dimension of its unit cell? Explain.

Answer:

If we know the density and the dimenstions of unit cell of an unknown metal, the atomic mass of the metal can be determined easily.

Let us assume a cubic crystal,then Its volume of unit cell will be = a³

No of atom in each cell = z

Also molar mass of the metal =M,

Mass of each atom = m

Now we know, mass of unit cell = no of atom in each cell x Mass of each atom -------------------(1)

Also Mass of each atom = molar mass / avagadro number ,i.e M/N_A ------------(2)

Putting the values of 2 in 1 we get,

Mass of unit cell = Mz / N_A ------------------(3)

Now density of unit cell (d) = mass of unit cell / volume of unit cell

Therefore from 1,2,3 we,get

d = Mz / a³ N_A---------------------------(4)

From 4th equation we can calculate the atomic mass of unknown metal.

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How can you determine the atomic mass of an unknown metal if you know its density and the dimension of its unit cell? Explain.

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Question: How can you determine the atomic mass of an unknown metal if you know its density and the dimension of its unit cell? Explain.

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Question:
How can you determine the atomic mass of an unknown metal if you know its density and the dimension of its unit cell? Explain.