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Question
Chemistry
If enthalpies of formation for C2H4(g), CO2(g)g and H2O(l) at 25° C and 1 atm pressure be 52, -394 and -286 kJ mol-1 respectively, enthalpy of combustion of C2H4 (g) will be
Q. If enthalpies of formation for
C
2
H
4
(
g
)
,
C
O
2
(
g
)
g
and
H
2
O
(
l
)
at
2
5
∘
C
and 1 atm pressure be
52
,
−
394
and
−
286
k
J
m
o
l
−
1
respectively, enthalpy of combustion of
C
2
H
4
(
g
)
will be
4307
179
UPSEE
UPSEE 2016
Thermodynamics
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A
+
141.2
k
J
m
o
l
−
1
B
+
1412
k
J
m
o
l
−
1
C
−
141.2
k
J
m
o
l
−
1
D
−
1412
k
J
m
o
l
−
1
Solution:
Given,
2
C
(
g
)
+
2
H
2
(
g
)
⟶
C
2
H
4
(
g
)
Δ
H
1
=
52
k
J
m
o
l
−
1
...(i)
C
(
g
)
+
O
2
(
g
)
⟶
C
O
2
(
g
)
Δ
H
2
=
−
394
k
J
m
o
l
−
1
...(ii)
H
2
(
g
)
+
2
1
O
2
(
g
)
⟶
H
2
O
(
g
)
Δ
H
3
=
−
286
k
J
m
o
l
−
1
...(iii)
Reaction involved for combustion of
C
2
H
4
(
g
)
is,
C
2
H
4
+
3
O
2
⟶
2
C
O
2
+
2
H
2
O
;
Δ
H
=
?
...(iv)
2
×
[
Eq. (ii) + Eq. (iii)] - Eq. (i), we get Eq. (iv)
∴
Δ
H
=
2
[
Δ
H
2
+
Δ
H
3
]
−
Δ
H
1
=
2
[
−
394
−
286
]
−
52
=
−
1360
−
52
=
−
1412
k
J
m
o
l
−
1