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1 of 3
1
+
-
The distance between the Li and
Cl ions in LiCl is 0.257 nm. Use
this and the molecular mass of LiCl
42.4 to compute the
density of LiCl.
g
mol
 
 
 
Solution
2
0
3
0
23
0
We consider each ion to occupy
a cubic volume of side r . The
ions occupy a volume of 2 ,
where 6.02 10 is
Avogadro’s number. The density
is thus related to equilibrium
spacing r by
2
A
A
N r
N
M M
V N


 
  3
0
(1)
Ar
  
23
7
0
Using
42.4 ,
6.022 10 / ,
0.257 10
in eq.(1), we get,
A
g
M
mole
N X mole
r X cm




3
3
0
23
7 3
2
3
3
2
42.4
2 (6.022 10 / )
(0.257 10 )
207.39 10
2.0739
,
A
M M
V N r
g
mole
X X mole X
X cm
Now
g
X
cm
g
cm



 




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PAUL 10.3.doc

  • 1. 1 + - The distance between the Li and Cl ions in LiCl is 0.257 nm. Use this and the molecular mass of LiCl 42.4 to compute the density of LiCl. g mol       Solution
  • 2. 2 0 3 0 23 0 We consider each ion to occupy a cubic volume of side r . The ions occupy a volume of 2 , where 6.02 10 is Avogadro’s number. The density is thus related to equilibrium spacing r by 2 A A N r N M M V N       3 0 (1) Ar    23 7 0 Using 42.4 , 6.022 10 / , 0.257 10 in eq.(1), we get, A g M mole N X mole r X cm    
  • 3. 3 3 0 23 7 3 2 3 3 2 42.4 2 (6.022 10 / ) (0.257 10 ) 207.39 10 2.0739 , A M M V N r g mole X X mole X X cm Now g X cm g cm        