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the enthalpy and entropy change for the reaction b
Question:
The enthalpy and entropy change for the reaction:
Br
2
(
l
)
+
Cl
2
(
g
)
→
2
BrCl
(
g
)
are
30
kJ
mol
−
1
and
105
JK
−
1
mol
−
1
respectively.The temperature at which the reaction will be in equilibrium is:
MHT CET
Updated On:
Jul 18, 2024
(A)
273
K
(B)
450
K
(C)
300
K
(D)
285.7
K
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The Correct Option is
D
Solution and Explanation
Explanation:
At equilibrium, Gibbs free energy change
(
Δ
G
∘
)
is equal to zero. The following thermodynamic relation is used to show the relation of
(
Δ
G
∘
)
with the enthalpy change
(
Δ
H
∘
)
and entropy change
(
Δ
S
∘
)
.
Δ
G
∘
=
Δ
H
o
−
Δ
S
o
0
=
30
×
10
3
(
J
mol
−
1
)
−
T
×
105
(
J
K
−
1
)
mol
−
1
Therefore,
T
=
30
×
10
3
105
K
=
285.71
K
Hence, the correct option is (D).
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