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Question #97319
A crystal of MgCl2 contains 5.85 x 10e20 cations.
a) how many formula units are in the crystal?
b) how many moles of MgCl2 are in the crystal?
c) what is the mass of the crystal?
Expert's answer
a) As 1 formula unit of MgCl2 contains ine ion of Mg
2+
then
N
(
M
g
2
+
)
=
N
(
M
g
C
l
2
)
=
5.85
×
1
0
20
i
o
n
s
N(Mg^{2+}) = N(MgCl_2)= 5.85\times10^{20} ions
N
(
M
g
2
+
)
=
N
(
M
g
C
l
2
)
=
5.85
×
1
0
20
i
o
n
s
b)
n
(
M
g
C
l
2
)
=
N
N
A
=
5.85
×
1
0
20
6.022
×
1
0
23
=
9.71
×
1
0
−
24
m
o
l
n(MgCl_2)=\frac{N}{N_A} = \frac{5.85 \times10^{20}}{6.022\times10^{23}} = 9.71\times 10^{-24} mol
n
(
M
g
C
l
2
)
=
N
A
N
=
6.022
×
1
0
23
5.85
×
1
0
20
=
9.71
×
1
0
−
24
m
o
l
c)
m
(
M
g
C
l
2
)
=
n
×
M
=
9.71
×
1
0
−
4
×
95.21
=
9.25
×
1
0
−
2
g
m(MgCl_2)= n\times M = 9.71\times10^{-4}\times95.21 = 9.25\times10^{-2}g
m
(
M
g
C
l
2
)
=
n
×
M
=
9.71
×
1
0
−
4
×
95.21
=
9.25
×
1
0
−
2
g
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