JEE Questions for Physics Kinetic Theory Of Gases Quiz 11 - MCQExams.com

In kinetic theory of gases, a molecule of mass m of an ideal gas collides with a wall of vessel with velocity V. The change in the linear momentum of the molecule is
  • 2 mV
  • mV
  • –mV
  • Zero
If the mean free path of atoms is doubled, then thepressure of gas will become
  • P/4
  • P/2
  • P/8
  • P
Relationship between P, V, and E for a gas is

  • Physics-Kinetic Theory of Gases-76048.png
  • 2)
    Physics-Kinetic Theory of Gases-76049.png

  • Physics-Kinetic Theory of Gases-76050.png

  • Physics-Kinetic Theory of Gases-76051.png
For a diatomic gas change in internal energy for unit change in temperature for constant pressure and constant volume is U1 and U2 respectively, U1 : U2 is
  • 5 : 3
  • 3 : 5
  • 1 : 1
  • 5 : 7
If number of molecules of H2 are double than that of O2, then ratio of kinetic energy of hydrogen and that of oxygen at 300 K is
  • 1 : 1
  • 1 : 2
  • 2 : 1
  • 1 : 16
The average kinetic energy of a gas at –23° C and 75 cm pressure is 5 × 10–14erg for H2. The mean kineticenergy of the O2 at 227°C and 150 cm pressure will be
  • 80 × 10–14erg
  • 20 × 10–14erg
  • 40 × 10–14erg
  • 10 × 10–14erg
The ratio of mean kinetic energy of hydrogen and nitrogen at temperature 300 K and 450 K respectively, is
  • 3 : 2
  • 2 : 3
  • 2 : 21
  • 4 : 9
Pressure of an ideal gas is increased by keeping temperature constant. What is the effect on kinetic energy of molecules
  • Increase
  • Decrease
  • No change
  • Can't be determined
Mean kinetic energy (or average energy) per molecule of a monoatomic gas is given by

  • Physics-Kinetic Theory of Gases-76057.png
  • 2)
    Physics-Kinetic Theory of Gases-76058.png

  • Physics-Kinetic Theory of Gases-76059.png

  • Physics-Kinetic Theory of Gases-76060.png
A sealed container with negligible coefficient of volumetric expansion contains helium (a monoatomic gas). When it is heated from 300 K to 600 K, theaverage K.E. of helium atoms is
  • Halved
  • Unchanged
  • Doubled
  • Increased by factor Ari
A diatomic gas is heated at constant pressure. What fraction of the heat energy is used to increase the internal energy
  • 3/5
  • 3/7
  • 5/7
  • 5/9
The translatory kinetic energy of gas per g is

  • Physics-Kinetic Theory of Gases-76071.png
  • 2)
    Physics-Kinetic Theory of Gases-76072.png

  • Physics-Kinetic Theory of Gases-76073.png

  • Physics-Kinetic Theory of Gases-76074.png
The kinetic energy of one gram molecules of a gas at normal temperature and pressure is (R = 8.31 J/mol-K)
  • 0.56 × 104 J
  • 1.3 × 102 J
  • 2.7 × 102 J
  • 3.4 × 103 J
The mean kinetic energy of a gas at 300 K is 100 J. The mean energy of the gas at 450 K is equal to
  • 100 J
  • 3000 J
  • 450 J
  • 150 J
At what temperature is the kinetic energy of a gas molecule double that of its value of 27°C
  • 54°C
  • 300 K
  • 327°C
  • 108°C
Read the given statements and decide which is/are correct on the basis of kinetic theory of gases
(I) Energy of one molecule at absolute temperature is zero
(II) r.m.s. speeds of different gases are same at same temperature
(III)For one gram of all ideal gas kinetic energy is same at same temperature
(IV)For one mole of all ideal gases mean kinetic energy is same at same temperature
  • All are correct
  • I and IV are correct
  • IV is correct
  • None of these
The translational kinetic energy of gas molecule for one mole of the gas is equal to
  • 3/2RT
  • 2/3RT
  • 1/2RT
  • 2/3KT
The average kinetic energy of a gas molecule at 27°C is 6.21 × 10–21J. Its average kinetic energy at 227°C will be
  • 52.2 × 10–21 J
  • 5.22 × 10–21 J
  • 10.35 × 10–21 J
  • 11.35 × 10–21 J
The average translational kinetic energy of O2 (molar massmolecules at a particular temperature is 0.048 eV. the translational kinetic energy of N2 (molar massmolecules in eV at the same temperature is
  • 0.0015
  • 0.003
  • 0.048
  • 0.768
The average translational energy and the r.m.s. speed of molecules in a sample of oxygen gas at 300 K are 6.21 × 10–21J and 484 m/s respectively. The corresponding values at 600 K are nearly (assuming ideal gas behaviour)
  • 12.42 × 1021 J, 968 m/s
  • 8.78 × 1021 J, 684 m/s
  • 6.21 × 1021 J, 968 m/s
  • 12.42 × 1021 J, 684 m/s
A polyatomic gas with n degrees of freedom has a mean energy per molecule given by
(N is Avogadro\'s number)

  • Physics-Kinetic Theory of Gases-76084.png
  • 2)
    Physics-Kinetic Theory of Gases-76085.png

  • Physics-Kinetic Theory of Gases-76086.png

  • Physics-Kinetic Theory of Gases-76087.png
At the same temperature and pressure and volume of two gases, which of the following quantities is constant
  • Total number of molecules
  • Average kinetic energy
  • Root mean square velocity
  • Mean free path
The average kinetic energy of a helium atom at 30°C is
  • Less than 1 eV
  • A few keV
  • 50 – 60 eV
  • 13.6 eV
The kinetic energy of one mole gas at 300 K temperature, is E. At 400 K temperature kinetic energy is E\'. The value of E\'/E is
  • 1.33
  • 2)
    Physics-Kinetic Theory of Gases-76093.png

  • Physics-Kinetic Theory of Gases-76094.png
  • 2
The capacity of a vessel is 3 litres. It contains 6 g oxygen, 8 g nitrogen and 5 g CO2 mixture at 27°C. If R = 8.31 J/mole × kelvin, then the pressure in the vessel in N/m2 will be (approx.)
  • 5 × 105
  • 5 × 104
  • 106
  • 105
Vapour is injected at a uniform rate in a closed which was initially evacuated. The pressure in the vessel
  • Increases continuously
  • Decreases continuously
  • First increases and then decreases
  • First increases and then becomes constant
In kinetic theory of gases, which of the following statements regarding elastic collision of the moleculesis wrong
  • Kinetic energy is lost in collisions
  • Kinetic energy remains constant in collision
  • Momentum is conserved in collision
  • Pressure of the gas remains constant in collisions
The average kinetic energy of hydrogen molecules at 300 K is E. At the same temperature, the average kinetic energy of oxygen molecules will be
  • E/4
  • E/16
  • E
  • 4 E
The kinetic energy of one g-mole of a gas at normal temperature and pressure is (R = 8.31 J/mol-K)
  • 0.56 × 104 J
  • 1.3 × 102 J
  • 2.7 × 102 J
  • 3.4 × 103 J
N molecules each of mass m of gas A and 2N molecules each of mass 2m of gas B are contained in the same vessel at temperature T. The mean square of the velocity of molecules of gas B is v2 and the mean square of x component of the velocity of molecules of gas A isw2. The ratio w2 / v2is
  • 1
  • 2
  • 1/3
  • 2/3
The air density at Mount Everest is less than that at the sea level. It is found by mountaineers that for one trip lasting a few hours, the extra oxygen needed by them corresponds to 30,000 cc at sea level (pressure 1 atmosphere, temperature 27°C). Assuming that the temperature around Mount Everest is –73 ° C and that the oxygen cylinder has capacity of 5.2 litre, the pressure at which O2 be filled (at site) in cylinder is
  • 3.86 atm
  • 5.00 atm
  • 5.77 atm
  • 1 atm
1/2 mole of helium gas is contained in a container at S.T.P. The heat energy needed to double the pressure of the gas, keeping the volume constant (specific heat of the gas = 3 J g–1K–) is
  • 3276 J
  • 1638 J
  • 819 J
  • 409.5 J

Physics-Kinetic Theory of Gases-76104.png
  • m = –c and n = – 1
  • m = c and n = 1
  • m = –c and n = 1
  • m = c and n = – 1

Physics-Kinetic Theory of Gases-76221.png
  • 1.33
  • 1.40
  • 1.29
  • 1.66
A box containing N molecules of a perfect gas at temperature T1 and pressure P1. The number of molecules in the box is doubled keeping the total kinetic energy of the gas same as before. If the new pressure is P2 and temperature T2, then
  • P2 = P1, T2 = T1
  • P2 = P1, T2 = T1 / 2
  • P2 = 2P1, T2 = T1
  • P2 = 2P1, T2 = T1 / 2
A gas in container A is in thermal equilibrium with another gas in container B. Both contain equal masses of the two gases in the respective containers. Which of the following can be true

  • Physics-Kinetic Theory of Gases-76108.png
  • 2)
    Physics-Kinetic Theory of Gases-76109.png

  • Physics-Kinetic Theory of Gases-76110.png

  • Physics-Kinetic Theory of Gases-76111.png
Two identical glass bulbs are interconnected by a thin glass tube. A gas is filled in these bulbs at N.T.P. If one bulb is placed in ice and another bulb is placed in hot bath, then the pressure of the gas becomes 1.5 times. The temperature of hot bath will be
Physics-Kinetic Theory of Gases-76113.png
  • 100°C
  • 182°C
  • 256°C
  • 546°C
Two containers of equal volume contain the same gas at pressures P1 and P2 and absolute temperatures T1 and T2respectively. On joining the vessels, the gas reaches a common pressure P and common temperature T. The ratio P/T is equal to

  • Physics-Kinetic Theory of Gases-76115.png
  • 2)
    Physics-Kinetic Theory of Gases-76116.png

  • Physics-Kinetic Theory of Gases-76117.png

  • Physics-Kinetic Theory of Gases-76118.png
At the top of a mountain a thermometer reads 7°C and a barometer reads 70 cm of Hg. At the bottom of the mountain these read 27°C and 76 cm of Hg respectively. Comparison of density of air at the top with that of bottom is
Physics-Kinetic Theory of Gases-76120.png
  • 75/76
  • 70/76
  • 76/75
  • 76/70
The root mean square speed of the molecules of a diatomic gas is v. When the temperature is doubled, the molecules dissociate into two atoms. The new root mean square speed of the atom is
  • √2 v
  • v
  • 2v
  • 4v
A vessel is partitioned in two equal halves by a fixed diathermic separator. Two different ideal gases are filled in left (L) and right (R) halves. The r.m.s speed of the molecules in L part is equal to the mean speed of molecules in the R part. Then the ratio of the mass of a molecule in L part to that of a molecule in R part is
Physics-Kinetic Theory of Gases-76123.png

  • Physics-Kinetic Theory of Gases-76124.png
  • 2)
    Physics-Kinetic Theory of Gases-76125.png

  • Physics-Kinetic Theory of Gases-76126.png

  • Physics-Kinetic Theory of Gases-76127.png
A gas is filled in the cylinder shown in the figure. The two pistons are joined by a string. If the gas is heated, the pistons will
Physics-Kinetic Theory of Gases-76129.png
  • Move towards left
  • Move towards right
  • Remain stationary
  • None of the above
A closed vessel contains 8 g of oxygen and 7 g of nitrogen. The total pressure is 10 atm at a given temperature. If now oxygen is absorbed by introducing a suitable absorbent pressure remaining gas in atm will be
  • 2
  • 10
  • 4
  • 5
CO2(O–C–O)is a triatomic gas. Mean kinetic energy of one gram gas will be (If N-Avogadro\'s number, k-Boltzmann\'s constant and molecular weight of CO2 = 44)
  • (3/NkT
  • (5/88)Nkt
  • (6/88)NkT
  • (7/88)NkT
The pressure and volume of saturated water vapour are P and V respctively. It is compressed isothermally there by volume becomes V/2, the final pressure will be
  • More than 2P
  • P
  • 2P
  • 4P
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-76134.png
  • 76
  • 68.2
  • 102.4
  • 122
The diameter of oxygen atom is 3Å. The fraction of molecular volume to the actual volume occupied by oxygen at STP is
  • 6 × 10–28
  • 8 × 10–4
  • 4 × 10–10
  • 4 × 10–4
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 Joules. The total heat capacity of the gas at constantvolume 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 amass 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
  • 1/4
  • 1/3
  • 1/2
  • 2/3
0:0:1


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