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Thermodynamics of equilibrium: van't Hoff equation
JEE Main level
Single correct option
Difficulty 2 of 3
ce134
Take
R
=
8.314
J
mo
l
−
1
K
−
1
. A reaction has
Δ
G
∘
=
−
17.0
kJ
mo
l
−
1
at
298
K
. Its equilibrium constant is closest to
A
1.0
×
1
0
−
3
B
6.9
C
7.3
×
1
0
6
D
9.5
×
1
0
2
Answer: D
ln
K
=
−
Δ
G
∘
/
RT
=
17000/
(
8.314
×
298
)
=
6.862
, so
K
=
e
6.862
=
9.5
×
1
0
2
. Using
1
0
6.862
confuses
ln
with
lo
g
10
, and the negative exponent comes from a sign error.
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