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Question #139814
Calculate the freezing point depression of the given electrolytic solution: 5.7 g CaCl2 (calcium chloride) in 18.6 kg H2O (water)
Expert's answer
Δ
T
=
i
K
C
m
\Delta T = iKC_m
Δ
T
=
i
K
C
m
C
m
=
n
(
C
a
C
l
2
)
m
(
H
2
O
)
=
m
(
C
a
C
l
2
)
M
(
C
a
C
l
2
)
∗
m
(
H
2
O
)
C_m = {n(CaCl_2) \over m(H_2O)} = {m(CaCl_2) \over M(CaCl_2)*m(H_2O)}
C
m
=
m
(
H
2
O
)
n
(
C
a
C
l
2
)
=
M
(
C
a
C
l
2
)
∗
m
(
H
2
O
)
m
(
C
a
C
l
2
)
Δ
T
=
3
∗
1.86
∗
5.7
111
∗
18.6
=
0.015
\Delta T= 3*1.86*{5.7 \over 111*18.6} = 0.015
Δ
T
=
3
∗
1.86
∗
111
∗
18.6
5.7
=
0.015
T
f
r
e
e
z
i
n
g
=
0
o
C
−
0.01
5
o
C
=
−
0.01
5
o
C
T_{freezing} = 0^oC-0.015^oC = -0.015^oC
T
f
reez
in
g
=
0
o
C
−
0.01
5
o
C
=
−
0.01
5
o
C
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on Dec 2023
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