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Byju's Answer
Standard XI
Mathematics
Jump of a Discontinuity
The critical ...
Question
The critical constants for water are
374
∘
C
,
217
atm and 0.05 L mol
−
1
. calculate
a
and
b
.
A
a
=
3.92
L
2
a
t
m
m
o
l
−
2
;
b
=
0.03
L
m
o
l
−
1
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B
a
=
1.92
L
2
a
t
m
m
o
l
−
2
;
b
=
0.028
L
m
o
l
−
1
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C
a
=
1.64
L
2
a
t
m
m
o
l
−
2
;
b
=
0.017
L
m
o
l
−
1
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D
a
=
2.95
L
2
a
t
m
m
o
l
−
2
:
b
=
0.011
L
m
o
l
−
1
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Solution
The correct option is
C
a
=
1.64
L
2
a
t
m
m
o
l
−
2
;
b
=
0.017
L
m
o
l
−
1
Given,
T
c
=
374
∘
C
P
c
=
218
atm
V
c
=
0.05
L mol
−
1
We know,
a
=
3
P
c
V
2
c
=
3
×
218
a
t
m
×
(
0.05
L
/
m
o
l
)
2
=
1.635
L
2
a
t
m
m
o
l
−
2
≈
1.64
L
2
a
t
m
m
o
l
−
2
Again,
b
=
V
c
3
=
0.05
L
m
o
l
−
1
3
=
0.017
L
m
o
l
−
1
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9
Similar questions
Q.
The critical constants for water are
374
∘
C
,
217
atm and 0.05 L mol
−
1
. calculate
a
and
b
.
Q.
The critical constant for water are 374
o
C
, 218 atm and 0.0566 litre mol
−
1
. Calculate
a
and
b
.
Q.
If
3
-
1
3
+
1
=
a
-
b
3
, then
(a) a = 2, b =1
(b) a = 2, b =−1
(c) a = −2, b = 1
(d) a = b = 1