SELECT * FROM question_mgmt as q WHERE id=1737 AND status=1 SELECT id,question_no,question,chapter FROM question_mgmt as q WHERE courseId=3 AND subId=9 AND chapterId=56 and ex_no='2' AND status=1 ORDER BY CAST(question_no AS UNSIGNED) CBSE Free NCERT Solution of 12th chemistry The Solid State 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/NA ------------(2)

Putting the values of 2 in 1 we get,

Mass of unit cell = Mz / NA ------------------(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 NA---------------------------(4)

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


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