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Byju's Answer
Standard XII
Chemistry
Compressibility Factor
State True or...
Question
State True or False.
In very high pressure region if
Z
v/s
P
is plotted at 1200 K for the above gas then it will have greatest slope.
A
True
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B
False
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Solution
The correct option is
B
False
The relationship between
z
and
P
is given by the expression
z
=
1
+
P
b
R
T
′
.
When
z
is plotted against
P
, the slope is
b
R
T
.
Thus the slope is inversely proportional to
T
.
When the temperature is very high such as 1200 K, the slope can not be greatest.
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Similar questions
Q.
The sketch
shows the plot of
Z
v/s
P
for a hypothetical gas for one mole at three distinct temperature. Boyle's temperature is the temperature at which a gas shows ideal
behavior
over a pressure range in the
low-pressure
region. Boyle's temperature
(
T
b
)
=
a
R
b
.If a plot is obtained at temperatures well below Boyle's temperature then the curve will show negative deviation, in
the low-pressure
region and positive deviation in the
high-pressure
region. Near critical
temperature
, the curve is more likely as
C
O
2
and the temperature well above critical temperature curve is more like
H
2
at
O
o
C
as shown above.At high pressure suppose all the constant temperature curve varies linearly with pressure according to the following equation
Z
=
1
+
P
b
R
T
(
R
=
2
c
a
l
m
o
l
−
1
K
−
1
)
For 500
K
plot value of
Z
changes from 2 to 2.2 ,if pressure is varied from 1000
a
t
m
to 1200
a
t
m
(high pressure) then the value of
b
R
T
will be:
Q.
The sketch shows the plot of Z vs P for 1 mole of a hypothetical gas at three distinct
temperatures:
Boyle's temperature is the temperature at which a gas shows ideal behaviour over a
pressure range in the low pressure region. Boyle's temperature
(
T
b
)
=
a
R
b
. If a plot is
obtained at temperatures well below Boyle's temperature, then the curve will show a negative deviation in the low pressure region and a positive deviation in the high pressure
region.
In the first figure, in the plot at
500
K
,
Z
changes from 2 to 2.2 as the pressure varies from 1000 atm to
1200
atm
(high pressure). The value of
b
R
T
will be:
Q.
For 500 K plot value of Z changes from 2 to 2.2 if pressure is varied from 1000 atm to 1200 atm (high pressure) then the value of
b
R
T
will be:
Q.
For
500
K
plot value of
Z
changes from
2
to
2.2
if pressure is varied from
1000
a
t
m
to
1200
a
t
m
(high pressure) then the value of
b
R
T
will be:
Q.
The sketch shows the plot of Z v/s P for a hypothetical gas for one mole at three distinct temperature . Boyle's temperature is the temperature at which a gas shows ideal behavior over a pressure range in the low-pressure region .Boyle's temperature
(
T
b
)
=
a
R
b
.If a plot is obtained at temperatures well below Boyle's temperature then the curve will show negative deviation,in
low-pressure
region and positive deviation in the high-pressure region.Near critical temperature, the curve is more likely as
C
O
2
and the temperature well above critical temperature curve is more like
H
2
at
O
0
C as shown above.At high pressure suppose all the constant temperature curve varies linearly with pressure according to the following equation
Z
=
1
+
P
b
R
T
(
R
=
2
c
a
l
m
o
l
−
1
K
−
1
)
Which of the following is correct?
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