JEE Questions for Physics Kinetic Theory Of Gases Quiz 7 - MCQExams.com

If the intermolecular forces vanish away, the volume occupied by the molecules contained in 4.5 kg water at standard temperature and pressure will be
  • 5.6 m3
  • 4.5 m3
  • 11.2 litres
  • 11.2 m3
When an air bubble of radius \'r\' rises from the bottom to the surface of a lake, its radius becomes 5r/4 (the pressure of the atmosphere is equal to the 10 m height of water column). If the temperature is constant and the surface tension is neglected, the depth of the lake is
  • 3.53 m
  • 6.53 m
  • 9.53 m
  • 12.53 m
A horizontal uniform glass tube of 100 cm, length sealed at both ends contain 10 cm mercury column in the middle. The temperature and pressure of air on either side of mercury column are respectively 81°C and 76 cm of mercury. If the air column at one end is kept at 0°C and the other end at 273°C, the pressure of air which is at 0°C is (in cm of Hg)
Physics-Kinetic Theory of Gases-75679.png
  • 76
  • 68.2
  • 102.4
  • 122
The temperature of 5 moles of a gas which was held at constant volume was changed from 100°C to 120°C. The change in internal energy was found to be 80 J. The total heat capacity of the gas at constant volume will be equal to
  • 8 J/K
  • 0.8 J/K
  • 4.0 J/K
  • 0.4 J/K
The temperature of which the r.m.s. speed of hydrogen molecules is equal to escape velocity on earth surface, will be
  • 1060 K
  • 5030 K
  • 8270 K
  • 10063 K
Inside a cylinder having insulating walls and closed at ends is a movable piston, which divides the cylinder into two compartments. On one side of the piston is a mass m of a gas and on the other side a mass 2 m of the same gas. What fraction of volume of the cylinder will be occupied by the larger mass of the gas when the piston is in equilibrium? Consider that the movable piston is conducting so that the temperature is the same throughout

  • Physics-Kinetic Theory of Gases-75683.png
  • 2)
    Physics-Kinetic Theory of Gases-75684.png

  • Physics-Kinetic Theory of Gases-75685.png

  • Physics-Kinetic Theory of Gases-75686.png
The diameter of oxygen molecule is 2.94 × 10–10 m. The van der Waal\'s gas constant ‘b’ in m3/mol will be
  • 3.2
  • 16
  • 32 × 10–4
  • 32 × 10–6
A vessel contains 14g (7 moles) of hydrogen and 96 g (9 moles) of oxygen at S.T.P. Chemical reaction is induced by passing electric spark in the vessel till one of the gases is consumed. The temperature is brought back to it\'s starting value 273 K. The pressure in the vessel is
Physics-Kinetic Theory of Gases-75689.png
  • 0.1 atm
  • 0.2 atm
  • 0.3 atm
  • 0.4 atm
A gas mixture consists of 2 moles of oxygen and 4 moles of argon at temperature T. Neglecting all vibrational modes, the total internal energy of the system is
  • 4 RT
  • 15 RT
  • 9 RT
  • 11 RT
A jar contains a gas and few drops of water at T K. The pressure in the jar is 830 mm of mercury. The temperature of jar is reduced by 1%. The saturated vapour pressure of water at the two temperatures are 30 mm and 25 mm of mercury. Then, the new pressure in the jar will be
  • 917 mm of Hg
  • 717 mm of Hg
  • 817 mm of Hg
  • None of these
The expansion of an ideal gas of mass m at a constant pressure P is given by the straight line D. Then, the expansion of the same ideal gas of mass 2m at a pressure P/2 is given by the straight line
Physics-Kinetic Theory of Gases-75693.png
  • E
  • C
  • B
  • A

Physics-Kinetic Theory of Gases-75695.png
  • Curve A
  • Curve B
  • Curve C
  • Curve D
The graph which represents the variation of mean kinetic energy of molecules with temperature toC is

  • Physics-Kinetic Theory of Gases-75697.png
  • 2)
    Physics-Kinetic Theory of Gases-75698.png

  • Physics-Kinetic Theory of Gases-75699.png

  • Physics-Kinetic Theory of Gases-75700.png
The adjoining figure shows graph of pressure and volume of a gas at two temperatures T1 and T2. Which of the following inference is correct?
Physics-Kinetic Theory of Gases-75702.png
  • T1 > T2
  • T1 = T2
  • T1 < T2
  • No interference can be drawn
The expansion of unit mass of a perfect gas at constant pressure is shown in the diagram. Here
Physics-Kinetic Theory of Gases-75704.png
  • a = Volume, b = oC temperature
  • a = Volume, b = K temperature
  • a = oC temperature, b = Volume
  • a = K temperature, b = Volume
An ideal gas is initially at temperature T and volume V. Its volume is increased by ∆V due to an increase in temperature ∆T, pressure remaining constant. The quantity δ = ∆V / (V∆T) varies with temperature as

  • Physics-Kinetic Theory of Gases-75706.png
  • 2)
    Physics-Kinetic Theory of Gases-75707.png

  • Physics-Kinetic Theory of Gases-75708.png

  • Physics-Kinetic Theory of Gases-75709.png
Pressure versus temperature graph of an ideal gas of equal number of moles of different volumes are plotted as shown in figure. Choose the correct alternative
Physics-Kinetic Theory of Gases-75711.png
  • V1 = V2, V3 = V4 and V2 > V3
  • V1 = V2, V3 = V4 and V2 < V3
  • V1 = V2 = V3 = V4
  • V4 > V3 > V2 > V1
Volume-temperature graph at atmospheric pressure for a monoatomic gas (V in m3, T in °C) is

  • Physics-Kinetic Theory of Gases-75713.png
  • 2)
    Physics-Kinetic Theory of Gases-75714.png

  • Physics-Kinetic Theory of Gases-75715.png

  • Physics-Kinetic Theory of Gases-75716.png
A fix amount of nitrogen gas (1 mole) is taken and is subjected to pressure and temperature variation. The experiment is performed at high pressure as well as high temperatures. The results obtained are shown in the figures. The correct variation of PV/RT with P will be exhibited by
Physics-Kinetic Theory of Gases-75718.png
  • 4
  • 3
  • 2
  • 1
A pressure P-absolute temperature T diagram was obtained when a given mass of gas was heated. During the heating process from the state 1 to state 2 the volume
Physics-Kinetic Theory of Gases-75719.png
  • Remained constant
  • Decreased
  • Increased
  • Changed erratically
A volume V and pressure P diagram was obtained from state 1 to state 2 when a given mass of a gas is subjected to temperature changes. During this process the gas is
Physics-Kinetic Theory of Gases-75721.png
  • Heated continuously
  • Cooled continuously
  • Heated in the beginning and cooled towards the end
  • Cooled in the beginning and heated towards the end
The figure shows the volume V versus temperatures T graph for a certain mass of a perfect gas at two constant pressures of P1 and P2. What inference can you draw from the graphs?
Physics-Kinetic Theory of Gases-75723.png
  • P1 > P2
  • P1 < P2
  • P1 = P2
  • No interference can be drawn due to insufficient information
In the adjoining figure, various isothermals are shown for a real gas. Then
Physics-Kinetic Theory of Gases-75725.png
  • EF represents liquification
  • CB represents liquification
  • HI represents the critical temperature
  • AB represents gas at a high temperature
PV versus T graph of equal masses of H2, He and O2 is shown in fig. Choose the correct alternative
Physics-Kinetic Theory of Gases-75727.png
  • C corresponds to H2, B to He and A to O2
  • A corresponds to He, B to H2 and C to O2
  • A corresponds to He B to O2 and C to H2
  • A corresponds to O2, B to H2 and C to He
Pressure versus temperature graph of an ideal gas at constant volume V of an ideal gas is shown by the straight line A. Now mass of the gas is doubled and the volume is halved, then the corresponding pressure versus temperature graph will be shown by the line
Physics-Kinetic Theory of Gases-75729.png
  • A
  • B
  • C
  • None of these
Two different isotherms representing the relationship between pressure p and volume V at a given temperature of the same ideal gas are shown for masses m1 and m2 of the gas respectively in the figure given, then
Physics-Kinetic Theory of Gases-75730.png
  • m1 > m2
  • m1 = m2
  • m1 < m2

  • Physics-Kinetic Theory of Gases-75731.png
Two different masses m and 3m of an ideal gas are heated separately in a vessel of constant volume, the pressure P and absolute temperature T, graphs for these two cases are shown in the figure as A and B. The ratio of slopes of curves B to A is
Physics-Kinetic Theory of Gases-75733.png
  • 3 : 1
  • 1 : 3
  • 9 : 1
  • 1 : 9
The density (ρ) versus pressure (P) of a given mass of an ideal gas is shown at two temperatures T1 and T2 Then relation between T2 and T2 may be
Physics-Kinetic Theory of Gases-75735.png
  • T1 > T2
  • T2 > T1
  • T1 = T2
  • All the three are possible
Which open of the following graph is correct at constant pressure?

  • Physics-Kinetic Theory of Gases-75737.png
  • 2)
    Physics-Kinetic Theory of Gases-75738.png

  • Physics-Kinetic Theory of Gases-75739.png

  • Physics-Kinetic Theory of Gases-75740.png
From the following statements, concerning ideal gas at any given temperature T, select the correct one (s)
  • The coefficient of volume expansion at constant pressure is same for all ideal gases
  • The average translational kinetic energy per molecules of oxygen gas is 3kT (k being Boltzmann constant)
  • In a gaseous mixture, the average translational kinetic energy of the molecules of each component is same
  • The mean free path of molecules increases with the decrease in pressure

Physics-Kinetic Theory of Gases-75743.png

  • Physics-Kinetic Theory of Gases-75744.png
  • 2)
    Physics-Kinetic Theory of Gases-75745.png

  • Physics-Kinetic Theory of Gases-75746.png

  • Physics-Kinetic Theory of Gases-75747.png
Cv and Cp denote the molar specific heat capacities of a gas at constant volume and constant pressure, respectively. Then,
  • Cp – Cv is larger for a diatomic ideal gas than for a monoatomic ideal gas
  • Cp + Cv is larger for a diatomic ideal gas than for a monoatomic ideal gas
  • Cp / Cv is larger for a diatomic ideal gas than for a monoatomic ideal gas
  • Cp • Cv is larger for a diatomic ideal gas than for a monoatomic ideal gas
A box contains is mixture of H2 and He gases. Which of the following statements are corrects?
  • The average translational kinetic energies of H2 molecules and He atoms are same
  • The average energies of H2 molecules and He atoms are same
  • H2 molecules have greater average energy than that of He atoms
  • The average speed of H2 molecules and He atoms are same
Statement I The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume.
Statement II The molecules of a gas collide with each other and the velocities of the molecules change due to the collision
  • Statements I is true, statements II is true ; statements II is a correct explanation for statements I
  • Statement I is true, statement II is true ; statement II is not a correct explanation for statement I
  • Statement I is true, statement II is false
  • Statement I is false, statement II is true

Physics-Kinetic Theory of Gases-75752.png
  • ρg(L0 – H)2 + P0 (L0 – H) + L0P0 = 0
  • ρg(L0 – H)2 – P0 (L0 – H) – L0P0 = 0
  • ρg(L0 – H)2 + P0 (L0 – H) – L0P0 = 0
  • ρg(L0 – H)2 – P0 (L0 – H) + L0P0 = 0
A fixed thermally conducting cylinder has a radius R and height L0.The cylinder is open at its bottom and has a small hole at its top. A piston of mass M is held at a distance L from the top surface, as shown in the figure. The atmospheric pressure is P0.
While the piston is at a distance 2L from the top, the hole at the top is sealed. The piston is then released, to a position where it can stay in equilibrium. In this condition, the distance of the piston from the top is
Physics-Kinetic Theory of Gases-75754.png

  • Physics-Kinetic Theory of Gases-75755.png
  • 2)
    Physics-Kinetic Theory of Gases-75756.png

  • Physics-Kinetic Theory of Gases-75757.png

  • Physics-Kinetic Theory of Gases-75758.png
A fixed thermally conducting cylinder has a radius R and height L0.The cylinder is open at its bottom and has a small hole at its top. A piston of mass M is held at a distance L from the top surface, as shown in the figure. The atmospheric pressure is P0.
The piston is now pulled out slowly and held at a distance 2L from the top. The pressure in the cylinder between its top and the piston will then be
Physics-Kinetic Theory of Gases-75760.png

  • Physics-Kinetic Theory of Gases-75761.png
  • 2)
    Physics-Kinetic Theory of Gases-75762.png

  • Physics-Kinetic Theory of Gases-75763.png

  • Physics-Kinetic Theory of Gases-75764.png
Assertion In pressure-temperature (P–T) phase diagram of water, the slope of the melting curve is found to be negative.
Reason Ice contracts on melting to water
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.

Physics-Kinetic Theory of Gases-75765.png
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion A gas has a unique value of specific heat.
Reason Specific heat is defined as the amount of heat required to raise the temperature of unit mass of the substance through unit degree.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion A gas can be liquefied at any temperature by increase of pressure alone.
Reason On increasing pressure the temperature of gas decreases.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Equal masses of helium and oxygen gases are given equal quantities of heat. There will be a greater rise in the temperature of helium compared to that of oxygen.
Reason The molecular weight of oxygen is more than the molecular weight of helium.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Absolute zero is the temperature corresponding to zero energy.
Reason The temperature at which no molecular motion cease is called absolute zero temperature.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion The ratio of specific heat gas at constant pressure and specific heat at constant volume for a diatomic gas is more than that for a monoatomic gas.
Reason The molecules of monatomic gas have more degree of freedom than those of a diatomic gas.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Mean free path of a gas molecules varies inversely as density of the gas.
Reason Mean free path varies inversely as pressure of the gas.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Specific heat of a gas at constant pressure (CP) is greater than its specific heat at constant volume (CV).
Reason At constant pressure, some heat is spent in expansion of the gas.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion The internal energy of a real gas is function of both, temperature and volume.
Reason Internal kinetic energy depends on temperature and internal potential energy depends on volume.
  • If Assertion is true but Reason is false.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion For an ideal gas, at constant temperature, the product of the pressure and volume is constant.
Reason The mean square velocity of the molecules is inversely proportional to mass.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion If a gas container in motion is suddenly stopped, the temperature of the gas rises.
Reason The kinetic energy of ordered mechanical motion is converted in to the kinetic energy of random motion of gas molecules.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Internal energy of an ideal gas does not depend upon volume of the gas.
Reason Internal energy of ideal gas depends on temperature of gas.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
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