Behaviour of Real Gases
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CHXI06:STATES OF MATTER

314076 If the total volume of all the molecules of a gas under stationary state is ' \(\mathrm{v}\) ', then the value of van der Waals' volume correction ' \(\mathrm{b}\) ' is

1 \(\mathrm{\mathrm{v}}\)
2 \(\mathrm{2 v}\)
3 \(\mathrm{3 v}\)
4 \(\mathrm{4 \mathrm{v}}\)
CHXI06:STATES OF MATTER

314077 \(\begin{array}{*{20}{c}}{{\rm{Gases}}}&{{\rm{van}}\,\,{\rm{der}}\,\,{\rm{Waals'}}\,\,{\rm{constant}}\,\,{\rm{'b'}}}\\{{\rm{N}}{{\rm{H}}_{\rm{3}}}}&{{\rm{0}}{\rm{.0371}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{\rm{C}}{{\rm{O}}_{\rm{2}}}}&{{\rm{0}}{\rm{.0427}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{4}}}}&{{\rm{0}}{\rm{.0571}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{6}}}}&{{\rm{0}}{\rm{.0638}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\end{array}\)
Which of the following gases is most incompressible in nature?

1 \(\mathrm{\mathrm{NH}_{3}}\)
2 \(\mathrm{\mathrm{CO}_{2}}\)
3 \(\mathrm{\mathrm{C}_{2} \mathrm{H}_{4}}\)
4 \(\mathrm{\mathrm{C}_{2} \mathrm{H}_{6}}\)
CHXI06:STATES OF MATTER

314078 The compressibility factor for a gas at high pressure is

1 \(\mathrm{1+\dfrac{R T}{p b}}\)
2 1
3 \(\mathrm{1+\dfrac{p b}{R T}}\)
4 \(\mathrm{1-\dfrac{p b}{R T}}\)
CHXI06:STATES OF MATTER

314079 Statement A :
At high pressure, the compressibility factor \(\mathrm{\mathrm{Z}}\) is \(\mathrm{\left(1+\dfrac{p b}{R T}\right)}\).
Statement B :
At high pressure, van der Waal's equation is modified as \(\mathrm{p(V-b)=R T}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
CHXI06:STATES OF MATTER

314092 Identify the correct matching by using Column - I and Column - II.
Column I
Column II
A
High pressure
1
\({\rm{PV = RT + Pb}}\)
B
Pressure is not too low
2
\({\rm{PV = RT - }}\frac{{\rm{a}}}{{\rm{V}}}\)
C
Force of attraction is negligible
3
\({\rm{PV = RT}}\)
D
Very high temperature and low pressure
4
\(\left( {{\rm{P + }}\frac{{\rm{a}}}{{\rm{V}}}} \right)\left( {{\rm{V - b}}} \right){\rm{ = RT}}\)

1 \(\mathrm{\mathrm{A}-4, \mathrm{~B}-2, \mathrm{C}-1, \mathrm{D}-3}\)
2 \(\mathrm{\mathrm{A}-2, \mathrm{~B}-3, \mathrm{C}-1, \mathrm{D}-4}\)
3 \(\mathrm{\mathrm{A}-4, \mathrm{~B}-3, \mathrm{C}-1, \mathrm{D}-2}\)
4 \(\mathrm{\mathrm{A}-1, \mathrm{~B}-3, \mathrm{C}-4, \mathrm{D}-2}\)
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CHXI06:STATES OF MATTER

314076 If the total volume of all the molecules of a gas under stationary state is ' \(\mathrm{v}\) ', then the value of van der Waals' volume correction ' \(\mathrm{b}\) ' is

1 \(\mathrm{\mathrm{v}}\)
2 \(\mathrm{2 v}\)
3 \(\mathrm{3 v}\)
4 \(\mathrm{4 \mathrm{v}}\)
CHXI06:STATES OF MATTER

314077 \(\begin{array}{*{20}{c}}{{\rm{Gases}}}&{{\rm{van}}\,\,{\rm{der}}\,\,{\rm{Waals'}}\,\,{\rm{constant}}\,\,{\rm{'b'}}}\\{{\rm{N}}{{\rm{H}}_{\rm{3}}}}&{{\rm{0}}{\rm{.0371}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{\rm{C}}{{\rm{O}}_{\rm{2}}}}&{{\rm{0}}{\rm{.0427}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{4}}}}&{{\rm{0}}{\rm{.0571}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{6}}}}&{{\rm{0}}{\rm{.0638}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\end{array}\)
Which of the following gases is most incompressible in nature?

1 \(\mathrm{\mathrm{NH}_{3}}\)
2 \(\mathrm{\mathrm{CO}_{2}}\)
3 \(\mathrm{\mathrm{C}_{2} \mathrm{H}_{4}}\)
4 \(\mathrm{\mathrm{C}_{2} \mathrm{H}_{6}}\)
CHXI06:STATES OF MATTER

314078 The compressibility factor for a gas at high pressure is

1 \(\mathrm{1+\dfrac{R T}{p b}}\)
2 1
3 \(\mathrm{1+\dfrac{p b}{R T}}\)
4 \(\mathrm{1-\dfrac{p b}{R T}}\)
CHXI06:STATES OF MATTER

314079 Statement A :
At high pressure, the compressibility factor \(\mathrm{\mathrm{Z}}\) is \(\mathrm{\left(1+\dfrac{p b}{R T}\right)}\).
Statement B :
At high pressure, van der Waal's equation is modified as \(\mathrm{p(V-b)=R T}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
CHXI06:STATES OF MATTER

314092 Identify the correct matching by using Column - I and Column - II.
Column I
Column II
A
High pressure
1
\({\rm{PV = RT + Pb}}\)
B
Pressure is not too low
2
\({\rm{PV = RT - }}\frac{{\rm{a}}}{{\rm{V}}}\)
C
Force of attraction is negligible
3
\({\rm{PV = RT}}\)
D
Very high temperature and low pressure
4
\(\left( {{\rm{P + }}\frac{{\rm{a}}}{{\rm{V}}}} \right)\left( {{\rm{V - b}}} \right){\rm{ = RT}}\)

1 \(\mathrm{\mathrm{A}-4, \mathrm{~B}-2, \mathrm{C}-1, \mathrm{D}-3}\)
2 \(\mathrm{\mathrm{A}-2, \mathrm{~B}-3, \mathrm{C}-1, \mathrm{D}-4}\)
3 \(\mathrm{\mathrm{A}-4, \mathrm{~B}-3, \mathrm{C}-1, \mathrm{D}-2}\)
4 \(\mathrm{\mathrm{A}-1, \mathrm{~B}-3, \mathrm{C}-4, \mathrm{D}-2}\)
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CHXI06:STATES OF MATTER

314076 If the total volume of all the molecules of a gas under stationary state is ' \(\mathrm{v}\) ', then the value of van der Waals' volume correction ' \(\mathrm{b}\) ' is

1 \(\mathrm{\mathrm{v}}\)
2 \(\mathrm{2 v}\)
3 \(\mathrm{3 v}\)
4 \(\mathrm{4 \mathrm{v}}\)
CHXI06:STATES OF MATTER

314077 \(\begin{array}{*{20}{c}}{{\rm{Gases}}}&{{\rm{van}}\,\,{\rm{der}}\,\,{\rm{Waals'}}\,\,{\rm{constant}}\,\,{\rm{'b'}}}\\{{\rm{N}}{{\rm{H}}_{\rm{3}}}}&{{\rm{0}}{\rm{.0371}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{\rm{C}}{{\rm{O}}_{\rm{2}}}}&{{\rm{0}}{\rm{.0427}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{4}}}}&{{\rm{0}}{\rm{.0571}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{6}}}}&{{\rm{0}}{\rm{.0638}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\end{array}\)
Which of the following gases is most incompressible in nature?

1 \(\mathrm{\mathrm{NH}_{3}}\)
2 \(\mathrm{\mathrm{CO}_{2}}\)
3 \(\mathrm{\mathrm{C}_{2} \mathrm{H}_{4}}\)
4 \(\mathrm{\mathrm{C}_{2} \mathrm{H}_{6}}\)
CHXI06:STATES OF MATTER

314078 The compressibility factor for a gas at high pressure is

1 \(\mathrm{1+\dfrac{R T}{p b}}\)
2 1
3 \(\mathrm{1+\dfrac{p b}{R T}}\)
4 \(\mathrm{1-\dfrac{p b}{R T}}\)
CHXI06:STATES OF MATTER

314079 Statement A :
At high pressure, the compressibility factor \(\mathrm{\mathrm{Z}}\) is \(\mathrm{\left(1+\dfrac{p b}{R T}\right)}\).
Statement B :
At high pressure, van der Waal's equation is modified as \(\mathrm{p(V-b)=R T}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
CHXI06:STATES OF MATTER

314092 Identify the correct matching by using Column - I and Column - II.
Column I
Column II
A
High pressure
1
\({\rm{PV = RT + Pb}}\)
B
Pressure is not too low
2
\({\rm{PV = RT - }}\frac{{\rm{a}}}{{\rm{V}}}\)
C
Force of attraction is negligible
3
\({\rm{PV = RT}}\)
D
Very high temperature and low pressure
4
\(\left( {{\rm{P + }}\frac{{\rm{a}}}{{\rm{V}}}} \right)\left( {{\rm{V - b}}} \right){\rm{ = RT}}\)

1 \(\mathrm{\mathrm{A}-4, \mathrm{~B}-2, \mathrm{C}-1, \mathrm{D}-3}\)
2 \(\mathrm{\mathrm{A}-2, \mathrm{~B}-3, \mathrm{C}-1, \mathrm{D}-4}\)
3 \(\mathrm{\mathrm{A}-4, \mathrm{~B}-3, \mathrm{C}-1, \mathrm{D}-2}\)
4 \(\mathrm{\mathrm{A}-1, \mathrm{~B}-3, \mathrm{C}-4, \mathrm{D}-2}\)
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CHXI06:STATES OF MATTER

314076 If the total volume of all the molecules of a gas under stationary state is ' \(\mathrm{v}\) ', then the value of van der Waals' volume correction ' \(\mathrm{b}\) ' is

1 \(\mathrm{\mathrm{v}}\)
2 \(\mathrm{2 v}\)
3 \(\mathrm{3 v}\)
4 \(\mathrm{4 \mathrm{v}}\)
CHXI06:STATES OF MATTER

314077 \(\begin{array}{*{20}{c}}{{\rm{Gases}}}&{{\rm{van}}\,\,{\rm{der}}\,\,{\rm{Waals'}}\,\,{\rm{constant}}\,\,{\rm{'b'}}}\\{{\rm{N}}{{\rm{H}}_{\rm{3}}}}&{{\rm{0}}{\rm{.0371}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{\rm{C}}{{\rm{O}}_{\rm{2}}}}&{{\rm{0}}{\rm{.0427}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{4}}}}&{{\rm{0}}{\rm{.0571}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{6}}}}&{{\rm{0}}{\rm{.0638}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\end{array}\)
Which of the following gases is most incompressible in nature?

1 \(\mathrm{\mathrm{NH}_{3}}\)
2 \(\mathrm{\mathrm{CO}_{2}}\)
3 \(\mathrm{\mathrm{C}_{2} \mathrm{H}_{4}}\)
4 \(\mathrm{\mathrm{C}_{2} \mathrm{H}_{6}}\)
CHXI06:STATES OF MATTER

314078 The compressibility factor for a gas at high pressure is

1 \(\mathrm{1+\dfrac{R T}{p b}}\)
2 1
3 \(\mathrm{1+\dfrac{p b}{R T}}\)
4 \(\mathrm{1-\dfrac{p b}{R T}}\)
CHXI06:STATES OF MATTER

314079 Statement A :
At high pressure, the compressibility factor \(\mathrm{\mathrm{Z}}\) is \(\mathrm{\left(1+\dfrac{p b}{R T}\right)}\).
Statement B :
At high pressure, van der Waal's equation is modified as \(\mathrm{p(V-b)=R T}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
CHXI06:STATES OF MATTER

314092 Identify the correct matching by using Column - I and Column - II.
Column I
Column II
A
High pressure
1
\({\rm{PV = RT + Pb}}\)
B
Pressure is not too low
2
\({\rm{PV = RT - }}\frac{{\rm{a}}}{{\rm{V}}}\)
C
Force of attraction is negligible
3
\({\rm{PV = RT}}\)
D
Very high temperature and low pressure
4
\(\left( {{\rm{P + }}\frac{{\rm{a}}}{{\rm{V}}}} \right)\left( {{\rm{V - b}}} \right){\rm{ = RT}}\)

1 \(\mathrm{\mathrm{A}-4, \mathrm{~B}-2, \mathrm{C}-1, \mathrm{D}-3}\)
2 \(\mathrm{\mathrm{A}-2, \mathrm{~B}-3, \mathrm{C}-1, \mathrm{D}-4}\)
3 \(\mathrm{\mathrm{A}-4, \mathrm{~B}-3, \mathrm{C}-1, \mathrm{D}-2}\)
4 \(\mathrm{\mathrm{A}-1, \mathrm{~B}-3, \mathrm{C}-4, \mathrm{D}-2}\)
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CHXI06:STATES OF MATTER

314076 If the total volume of all the molecules of a gas under stationary state is ' \(\mathrm{v}\) ', then the value of van der Waals' volume correction ' \(\mathrm{b}\) ' is

1 \(\mathrm{\mathrm{v}}\)
2 \(\mathrm{2 v}\)
3 \(\mathrm{3 v}\)
4 \(\mathrm{4 \mathrm{v}}\)
CHXI06:STATES OF MATTER

314077 \(\begin{array}{*{20}{c}}{{\rm{Gases}}}&{{\rm{van}}\,\,{\rm{der}}\,\,{\rm{Waals'}}\,\,{\rm{constant}}\,\,{\rm{'b'}}}\\{{\rm{N}}{{\rm{H}}_{\rm{3}}}}&{{\rm{0}}{\rm{.0371}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{\rm{C}}{{\rm{O}}_{\rm{2}}}}&{{\rm{0}}{\rm{.0427}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{4}}}}&{{\rm{0}}{\rm{.0571}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\\{{{\rm{C}}_{\rm{2}}}{{\rm{H}}_{\rm{6}}}}&{{\rm{0}}{\rm{.0638}}\,{\rm{d}}{{\rm{m}}^{\rm{2}}}\,{\rm{mo}}{{\rm{l}}^{{\rm{ - 1}}}}}\end{array}\)
Which of the following gases is most incompressible in nature?

1 \(\mathrm{\mathrm{NH}_{3}}\)
2 \(\mathrm{\mathrm{CO}_{2}}\)
3 \(\mathrm{\mathrm{C}_{2} \mathrm{H}_{4}}\)
4 \(\mathrm{\mathrm{C}_{2} \mathrm{H}_{6}}\)
CHXI06:STATES OF MATTER

314078 The compressibility factor for a gas at high pressure is

1 \(\mathrm{1+\dfrac{R T}{p b}}\)
2 1
3 \(\mathrm{1+\dfrac{p b}{R T}}\)
4 \(\mathrm{1-\dfrac{p b}{R T}}\)
CHXI06:STATES OF MATTER

314079 Statement A :
At high pressure, the compressibility factor \(\mathrm{\mathrm{Z}}\) is \(\mathrm{\left(1+\dfrac{p b}{R T}\right)}\).
Statement B :
At high pressure, van der Waal's equation is modified as \(\mathrm{p(V-b)=R T}\).

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
CHXI06:STATES OF MATTER

314092 Identify the correct matching by using Column - I and Column - II.
Column I
Column II
A
High pressure
1
\({\rm{PV = RT + Pb}}\)
B
Pressure is not too low
2
\({\rm{PV = RT - }}\frac{{\rm{a}}}{{\rm{V}}}\)
C
Force of attraction is negligible
3
\({\rm{PV = RT}}\)
D
Very high temperature and low pressure
4
\(\left( {{\rm{P + }}\frac{{\rm{a}}}{{\rm{V}}}} \right)\left( {{\rm{V - b}}} \right){\rm{ = RT}}\)

1 \(\mathrm{\mathrm{A}-4, \mathrm{~B}-2, \mathrm{C}-1, \mathrm{D}-3}\)
2 \(\mathrm{\mathrm{A}-2, \mathrm{~B}-3, \mathrm{C}-1, \mathrm{D}-4}\)
3 \(\mathrm{\mathrm{A}-4, \mathrm{~B}-3, \mathrm{C}-1, \mathrm{D}-2}\)
4 \(\mathrm{\mathrm{A}-1, \mathrm{~B}-3, \mathrm{C}-4, \mathrm{D}-2}\)