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Byju's Answer
Standard XII
Chemistry
Gibbs Free Energy & Spontaneity
Considering ...
Question
Considering
△
G
=
△
H
−
T
△
S
, a spontaneous reaction will occur when
:
A
△
G
is positive and
△
S
is positive
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B
△
G
is positive and
△
S
is negative
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C
△
H
is negative and
△
S
is positive
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D
△
H
is negative and
△
S
is negative
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E
△
H
is positive and
△
T
is negative
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Solution
The correct option is
C
△
H
is negative and
△
S
is positive
Δ
G
=
Δ
H
−
T
Δ
S
For a spontaneous process, the change in Gibbs free energy
Δ
G
<
0
.
Therefore, a spontaneous reaction will occur when
Δ
H
is negative and
Δ
S
is positive, which will make
Δ
G
value negative.
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0
Similar questions
Q.
Assertion :A reaction will be spontaneous if
△
H is negative and
△
S is positive Reason:
△
G will be negative when there is a decrease in enthalpy and an increase in entropy
Q.
Column I
Column II
a.
exothermic
p.
H
P
−
H
R
b.
endothermic
q.
Δ
H
is negative
c.
spontaneous
r.
Δ
H
is positive
d.
heat of reaction
s.
Δ
G
is negative
Q.
Δ
H
is positive and
Δ
S
is negative then the reaction is:
Q.
Free energy,
G
=
H
−
T
Δ
S
, is a state function that indicates whether a reaction is spontaneous or non-spontaneous. If you think of
T
S
as the part of the system`s energy that is disordered already, then
(
H
−
T
S
)
is the part of the system`s energy that is still ordered and therefore free to cause spontaneous change by becoming disordered.
Also,
Δ
G
=
Δ
H
−
T
Δ
S
From the second law of Thermodynamics, a reaction is spontaneous if
Δ
t
o
t
a
l
S
is positive, non-spontaneous if
Δ
t
o
t
a
l
S
is negative, and at equilibrium if
Δ
t
o
t
a
l
S
is zero.
Since,
−
T
Δ
S
=
Δ
G
and since
Δ
G
and
Δ
S
have opposite signs, we can restate the Thermodynamic criterion for the spontaneity of a reaction carried out at a constant temperature and pressure.
If
Δ
G
<
0
, the reaction is spontaneous
If
Δ
G
>
0
, the reaction is non-spontaneous
If
Δ
G
=
0
, the reaction is at equilibrium
Read the above paragraph carefully and answer the following questions based on the above comprehension.
A particular reaction has a negative value for the free energy change. Then at ordinary temperature:
Q.
Predict whether the reaction
C
O
(
g
)
+
(
1
2
)
O
2
(
g
)
→
C
O
2
(
g
)
at 300 K is spontaneous & exothermic or non-spontaneous & endothermic, when the standard entropy change is
−
0.094
k
J
m
o
l
−
1
K
−
1
.
The standard Gibb's free energies of formation for
C
O
2
and
C
O
are
−
394.4
a
n
d
−
137.2
k
J
m
o
l
−
1
respectively.
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