Q. 53.6( 42 Votes )

How can you deter

Answer :

The atomic mass of an unknown metal can be determined by knowing its density and the dimension of unit cell.

Let ‘a’ be the edge length of a unit cell of a crystal.


‘d’ is the density of the metal


‘m’ is the atomic mass of the metal.


‘z’ is the number of atoms in the unit cell.


Now, the density of the unit cell


As we know that, mass of the unit cell = Number of atoms in the unit cell × atomic mass


And the volume of the unit cell = (Edge length of the cubic unit cell)3


Therefore, d --------- (i)


---------------- (ii)


Now, since mass of the metal (m)



Therefore, from equation (ii) we have



--------------- (iii)


If the edge lengths are different (say a, b and c), therefore, equation (iii) can be written as


----------- (iv)


Thus, using equation (iii) and the atomic mass of an unknown metal can be determined.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

<span lang="EN-USChemistry - Board Papers

Graphite cannot bChemistry - Exemplar

Which of the follChemistry - Exemplar

Which of the follChemistry - Exemplar

Explain

<p
NCERT - Chemistry Part-I

Explain

<p
NCERT - Chemistry Part-I

'Stability of a cNCERT - Chemistry Part-I

What is the coordNCERT - Chemistry Part-I

What is meant by NCERT - Chemistry Part-I