Law of Gases (Boyle's Law, Charles's Law, Gay-Lussac's Law, Avogadro's Law)
Kinetic Theory of Gases

138967 A cylindrical tube of uniform cross-sectional area $A$ is fitted with two air tight frictionless pistons. The piston are connect to each other by a metallic wire. Initially, the pressure of the gas is $P_{0}$ and temperature is $T_{0}$, atmospheric pressure is also $P_{0}$. Now, the temperature of the gas is increased to $2 T_{0}$, the tension of wire will be

1 $2 \mathrm{P}_{0} \mathrm{~A}$
2 $\mathrm{P}_{0} \mathrm{~A}$
3 $\frac{\mathrm{P}_{0} \mathrm{~A}}{2}$
4 $4 \mathrm{P}_{0} \mathrm{~A}$
Kinetic Theory of Gases

138919 As per kinetic theory of gases which of the following statements is / are true?
(i) Temperature of a gas is a measure of average kinetic energy of a molecule
(ii) Temperature of a gas depends on the nature of the gas
(iii) Heavier molecule has lower average speed
(iv) Lighter molecule has lower average speed

1 (i) \& (ii) are true
2 (ii) \& (iii) are true
3 (i) \& (iii) are true
4 (ii) \& (iv) are true
Kinetic Theory of Gases

138920 The average thermal energy for a monoatomic gas is (where, $k_{B}$ is Boltzmann constant and $T$ is absolute temperature.)

1 $\frac{3}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
2 $\frac{5}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
3 $\frac{7}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
4 $\frac{1}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
Kinetic Theory of Gases

138934 Gases exert pressure on the walls of the container because the gas molecules

1 have finite volume
2 obey Boyle's law
3 possess momentum
4 collide with one another
Kinetic Theory of Gases

138967 A cylindrical tube of uniform cross-sectional area $A$ is fitted with two air tight frictionless pistons. The piston are connect to each other by a metallic wire. Initially, the pressure of the gas is $P_{0}$ and temperature is $T_{0}$, atmospheric pressure is also $P_{0}$. Now, the temperature of the gas is increased to $2 T_{0}$, the tension of wire will be

1 $2 \mathrm{P}_{0} \mathrm{~A}$
2 $\mathrm{P}_{0} \mathrm{~A}$
3 $\frac{\mathrm{P}_{0} \mathrm{~A}}{2}$
4 $4 \mathrm{P}_{0} \mathrm{~A}$
Kinetic Theory of Gases

138919 As per kinetic theory of gases which of the following statements is / are true?
(i) Temperature of a gas is a measure of average kinetic energy of a molecule
(ii) Temperature of a gas depends on the nature of the gas
(iii) Heavier molecule has lower average speed
(iv) Lighter molecule has lower average speed

1 (i) \& (ii) are true
2 (ii) \& (iii) are true
3 (i) \& (iii) are true
4 (ii) \& (iv) are true
Kinetic Theory of Gases

138920 The average thermal energy for a monoatomic gas is (where, $k_{B}$ is Boltzmann constant and $T$ is absolute temperature.)

1 $\frac{3}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
2 $\frac{5}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
3 $\frac{7}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
4 $\frac{1}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
Kinetic Theory of Gases

138934 Gases exert pressure on the walls of the container because the gas molecules

1 have finite volume
2 obey Boyle's law
3 possess momentum
4 collide with one another
Kinetic Theory of Gases

138967 A cylindrical tube of uniform cross-sectional area $A$ is fitted with two air tight frictionless pistons. The piston are connect to each other by a metallic wire. Initially, the pressure of the gas is $P_{0}$ and temperature is $T_{0}$, atmospheric pressure is also $P_{0}$. Now, the temperature of the gas is increased to $2 T_{0}$, the tension of wire will be

1 $2 \mathrm{P}_{0} \mathrm{~A}$
2 $\mathrm{P}_{0} \mathrm{~A}$
3 $\frac{\mathrm{P}_{0} \mathrm{~A}}{2}$
4 $4 \mathrm{P}_{0} \mathrm{~A}$
Kinetic Theory of Gases

138919 As per kinetic theory of gases which of the following statements is / are true?
(i) Temperature of a gas is a measure of average kinetic energy of a molecule
(ii) Temperature of a gas depends on the nature of the gas
(iii) Heavier molecule has lower average speed
(iv) Lighter molecule has lower average speed

1 (i) \& (ii) are true
2 (ii) \& (iii) are true
3 (i) \& (iii) are true
4 (ii) \& (iv) are true
Kinetic Theory of Gases

138920 The average thermal energy for a monoatomic gas is (where, $k_{B}$ is Boltzmann constant and $T$ is absolute temperature.)

1 $\frac{3}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
2 $\frac{5}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
3 $\frac{7}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
4 $\frac{1}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
Kinetic Theory of Gases

138934 Gases exert pressure on the walls of the container because the gas molecules

1 have finite volume
2 obey Boyle's law
3 possess momentum
4 collide with one another
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Kinetic Theory of Gases

138967 A cylindrical tube of uniform cross-sectional area $A$ is fitted with two air tight frictionless pistons. The piston are connect to each other by a metallic wire. Initially, the pressure of the gas is $P_{0}$ and temperature is $T_{0}$, atmospheric pressure is also $P_{0}$. Now, the temperature of the gas is increased to $2 T_{0}$, the tension of wire will be

1 $2 \mathrm{P}_{0} \mathrm{~A}$
2 $\mathrm{P}_{0} \mathrm{~A}$
3 $\frac{\mathrm{P}_{0} \mathrm{~A}}{2}$
4 $4 \mathrm{P}_{0} \mathrm{~A}$
Kinetic Theory of Gases

138919 As per kinetic theory of gases which of the following statements is / are true?
(i) Temperature of a gas is a measure of average kinetic energy of a molecule
(ii) Temperature of a gas depends on the nature of the gas
(iii) Heavier molecule has lower average speed
(iv) Lighter molecule has lower average speed

1 (i) \& (ii) are true
2 (ii) \& (iii) are true
3 (i) \& (iii) are true
4 (ii) \& (iv) are true
Kinetic Theory of Gases

138920 The average thermal energy for a monoatomic gas is (where, $k_{B}$ is Boltzmann constant and $T$ is absolute temperature.)

1 $\frac{3}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
2 $\frac{5}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
3 $\frac{7}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
4 $\frac{1}{2} \mathrm{k}_{\mathrm{B}} \mathrm{T}$
Kinetic Theory of Gases

138934 Gases exert pressure on the walls of the container because the gas molecules

1 have finite volume
2 obey Boyle's law
3 possess momentum
4 collide with one another