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Virial equation of state
JEE Main level
Numerical answer
Difficulty 2 of 3
rg215
At
300
K
and
12.5
atm
a gas has
Z
=
0.9625
. Assuming
Z
=
1
+
BP
/
RT
and
R
=
0.0821
L
atm
K
−
1
mo
l
−
1
, the second virial coefficient
B
in
mL
mo
l
−
1
(nearest integer) is
Numerical answer type, answer in mL/mol, tolerance 1.
Answer: -74 mL/mol
B
=
P
(
Z
−
1
)
RT
=
12.5
(
−
0.0375
)
(
24.63
)
=
12.5
−
0.9236
=
−
0.07389
L
mo
l
−
1
=
−
73.9
mL
mo
l
−
1
, i.e.
−
74
mL
mo
l
−
1
.
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