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Question
Chemistry
The following equilibria are given: N 2+3 H 2 leftharpoons 2 NH 3 K 1 N2 + O2 leftharpoons 2NO K2 H2 + (1/2) O2 leftharpoons H2 O K3 The equilibrium constant of the reaction 2NH3 + (5/2) O2 leftharpoons 2NO + 3H2 O in terms of K1, K2 and K3 is
Q. The following equilibria are given :
N
2
+
3
H
2
⇌
2
N
H
3
K
1
N
2
+
O
2
⇌
2
NO
K
2
H
2
+
2
1
O
2
⇌
H
2
O
K
3
The equilibrium constant of the reaction
2
N
H
3
+
2
5
O
2
⇌
2
NO
+
3
H
2
O
in terms of
K
1
,
K
2
and
K
3
is
7190
173
AIPMT
AIPMT 2003
Report Error
A
K
1
K
1
K
3
7%
B
K
3
K
1
K
2
4%
C
K
2
K
1
K
3
2
33%
D
K
1
K
2
K
3
3
56%
Solution:
For equilibrium
N
2
(
g
)
+
3
H
2
(
g
)
2
N
H
3
(
g
)
,
K
1
=
[
N
2
]
[
H
2
]
3
[
N
H
3
]
2
..... (i)
N
2
(
g
)
+
O
2
(
g
)
⇌
2
NO
(
g
)
,
K
2
=
[
N
2
]
[
O
2
]
[
NO
]
2
.....
(
ii
)
<
b
r
/
><
b
r
/
>
H
2
(
g
)
+
2
1
O
2
(
g
)
⇌
H
2
O
(
g
)
,
K
3
=
[
H
2
]
[
O
2
]
1/2
[
H
2
O
]
.....
(
iii
)
<
b
r
/
><
b
r
/
>
For reaction,
2
N
H
3
(
g
)
+
2
5
O
2
(
g
)
⇌
2
NO
(
g
)
+
3
H
2
O
(
g
)
K
=
[
N
H
3
]
2
[
O
2
]
5/2
[
NO
]
2
×
[
H
2
O
]
3
....
(
i
v
)
<
b
r
/
><
b
r
/
>
From equations number (i), (ii) and (iii)
K
=
K
1
K
2
×
K
3
3