JEE Questions for Physics Kinetic Theory Of Gases Quiz 6 - MCQExams.com

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
The average kinetic energy of a gas at –23° C and 75 cm pressure is 5 × 10–14 erg for H2. The mean kinetic energy of the O2 at 227°C and 150 cm pressure will be
  • 80 × 10–14 erg
  • 20 × 10–14 erg
  • 40 × 10–14 erg
  • 10 × 10–14 erg
The ratio of mean kinetic energy of hydrogen and nitrogen at temperature 300 K and 450 K respectively is
  • 3 : 2
  • 2 : 3
  • 2 : 1
  • 4 : 9
The average kinetic energy of a gas molecules can be determined by knowing
  • The number of molecules in the gas
  • The pressure of the gas only
  • The temperature of the gas only
  • None of the above is enough by itself
Mean kinetic energy (or average energy) per g molecule of a monoatomic gas is given by

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    Physics-Kinetic Theory of Gases-75586.png

  • Physics-Kinetic Theory of Gases-75587.png

  • Physics-Kinetic Theory of Gases-75588.png
The time average of the kinetic energy of one molecule of a gas taken over a long period of time
  • Is proportional to the square root of the absolute temperature of the gas
  • Is proportional to the absolute temperature of the gas
  • Is proportional to the square of the absolute temperature of the gas
  • Does not depend upon the absolute temperature of the gas
The kinetic energy per g mol for a diatomic gas at room temperature is
  • 3 RT
  • 2)
    Physics-Kinetic Theory of Gases-75591.png

  • Physics-Kinetic Theory of Gases-75592.png

  • Physics-Kinetic Theory of Gases-75593.png
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 kinetic energy of translation of 20 g of oxygen at 47°C is (molecular wt. of oxygen is 32 g/mol and R = 8.3 J/mol/K)
  • 2490 J
  • 2490 ergs
  • 830 J
  • 124.5 J
The average kinetic energy of a gas molecule at 27°C is 6.21 × 10–21 J. 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 × 10–21 J 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 give by
(N is Avogadro\'s number)

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  • 2)
    Physics-Kinetic Theory of Gases-75602.png

  • Physics-Kinetic Theory of Gases-75603.png

  • Physics-Kinetic Theory of Gases-75604.png
At 0 K which of the following properties of a gas will be zero?
  • Kinetic energy
  • Potential energy
  • Vibrational energy
  • Density
Three perfect gases at absolute temperature T1, T2 and T3 are mixed. The masses of molecules are m1, m2 and m3 and the number of molecules are n1, n2 and n3 respectively. Assuming no loss of energy, the final

  • Physics-Kinetic Theory of Gases-75607.png
  • 2)
    Physics-Kinetic Theory of Gases-75608.png

  • Physics-Kinetic Theory of Gases-75609.png

  • Physics-Kinetic Theory of Gases-75610.png
If temperature of gas increases from 27°C to 927°C the K.E. will be
  • Double
  • Half
  • One fourth
  • Four times
Vessel A is filled with hydrogen while vessel B, whose volume is twice that of A, is filled with the same mass of oxygen at the same temperature. The ratio of the mean kinetic energies of hydrogen and oxygen is
  • 16 : 1
  • 1 : 8
  • 8 : 1
  • 1 : 1

Physics-Kinetic Theory of Gases-75613.png

  • Physics-Kinetic Theory of Gases-75614.png
  • 2)
    Physics-Kinetic Theory of Gases-75615.png

  • Physics-Kinetic Theory of Gases-75616.png

  • Physics-Kinetic Theory of Gases-75617.png
The temperature at which protons in proton gas would have enough energy to overcome Coulomb barrier of 4.14 × 10–14 J is
(Boltzman constant = 1.38 × 10–23 JK–1)
  • 2 × 109 K
  • 109 K
  • 6 × 109 K
  • 3 × 109 K
An ideal gas is filled in a vessel, then
  • If it is placed inside a moving train, its temperature increases
  • Its centre of mass moves randomly
  • Its temperature remains constant in a moving car
  • None of the above
If r.m.s. velocity of gas is Vrms = 1840 m/s and its density ρ = 8.99 × 10–2 kg/m3, the pressure of the gas will be
  • 1.01 N/m2
  • 1.01 × 103 N/m2
  • 1.01 × 105 N/m2
  • 1.01 × 107 N/m2

Physics-Kinetic Theory of Gases-75622.png

  • Physics-Kinetic Theory of Gases-75623.png
  • 2)
    Physics-Kinetic Theory of Gases-75624.png

  • Physics-Kinetic Theory of Gases-75625.png

  • Physics-Kinetic Theory of Gases-75626.png
On colliding in a closed container the gas molecules
  • Transfer momentum to the walls
  • Momentum becomes zero
  • Move in opposite directions
  • Perform Brownian motion
The capacity of a vessel is 3 litres. It contains 6g oxygen, 8g nitrogen and 5g 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
Vapor 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
The average translational kinetic energy of a hydrogen gas molecules at NTP will be
[Boltzmann\'s constant kB = 1.38 × 10–23 J/K]
  • 0.186 × 10–20 J
  • 0.372 × 10–20 J
  • 0.56 × 10–20 J
  • 5.6 × 10–20 J
According to the kinetic theory of gases, the temperature of a gas is a measure of average
  • Velocities of its molecules
  • Linear momentum of its molecules
  • Kinetic energy of its molecules
  • Angular momentum of its molecules
Mean kinetic energy per degree of freedom of gas molecules is

  • Physics-Kinetic Theory of Gases-75631.png
  • 2)
    Physics-Kinetic Theory of Gases-75632.png

  • Physics-Kinetic Theory of Gases-75633.png

  • Physics-Kinetic Theory of Gases-75634.png
The temperature at which the average translational kinetic energy of a molecule is equal to the energy gained by an electron in accelerating from rest through a potential difference of 1 volt is
  • 4.6 × 103 K
  • 11.6 × 103 K
  • 23.2 × 103 K
  • 7.7 × 103 K
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
A monoatomic gas is kept at room temperature 300 K. Calculate the average kinetic energy of gas molecule (Use k = 1.38 × 10–23 MKS units)
  • 0.138 eV
  • 0.062 eV
  • 0.039 eV
  • 0.013 eV

Physics-Kinetic Theory of Gases-75639.png
  • 1
  • 2
  • 1/3
  • 2/3
A gas is filled in a cylinder, its temperature is increased by 20% on kelvin scale and volume is reduced by 10%. How much percentage of the gas will leak out
  • 30%
  • 40%
  • 15%
  • 25%
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 gm–1K–1) is
  • 3276 J
  • 1638 J
  • 819 J
  • 409.5 J
A closed gas cylinder is divided into two parts by a piston held tight. The pressure and volume of gas in two parts respectively are (P, 5V) and (10P, V). If now the piston is left free and the system undergoes isothermal process, then the volume of the gas in two parts respectively are
  • 2V, 4V
  • 3V, 3V
  • 5V, V
  • 4V, 2V
70 calories of heat are required to raise the temperature of 2 moles of an ideal gas at constant pressure, from 30°C to 35°C. The amount of heat required to raise the temperature of same gas through the same range (30°C to 35°C) at constant volume (R = 2 cal/mol/K) is
  • 30 cal
  • 50 cal
  • 70 cal
  • 90 cal
A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglect effect of gravity. Then, the pressure in the compartment is
  • Same every where
  • Lower in the front side
  • Lower in the rear side
  • Lower in the upper side
Consider a collection of a large number of particles each with speed v. The direction of velocity is randomly distributed in the collection. What is the magnitude of the relative velocity between a pairs in the collection?
  • 2 V/π
  • V/ π
  • 8V/ π
  • 4V/ π
Three closed vessels A, B and C are at the same temperature T and contain gases which obey the Maxwellian distribution of velocities. Vessel A contains only O2 , B only N2 and C a mixture of equal quantities of O2 and N2, If the average speed of the O2 molecules in vessel A is V1, that of the N2 molecules in vessel B is V2, the average speed of the O2 molecules in vessel C is

  • Physics-Kinetic Theory of Gases-75647.png
  • 2)
    Physics-Kinetic Theory of Gases-75648.png

  • Physics-Kinetic Theory of Gases-75649.png

  • Physics-Kinetic Theory of Gases-75650.png
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-75652.png
  • 2)
    Physics-Kinetic Theory of Gases-75653.png

  • Physics-Kinetic Theory of Gases-75654.png

  • Physics-Kinetic Theory of Gases-75655.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-75657.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 T2 respectively. 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-75659.png
  • 2)
    Physics-Kinetic Theory of Gases-75660.png

  • Physics-Kinetic Theory of Gases-75661.png

  • Physics-Kinetic Theory of Gases-75662.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-75664.png
  • 75/76
  • 70/76
  • 76/75
  • 76/70
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-75666.png

  • Physics-Kinetic Theory of Gases-75667.png
  • 2)
    Physics-Kinetic Theory of Gases-75668.png

  • Physics-Kinetic Theory of Gases-75669.png

  • Physics-Kinetic Theory of Gases-75670.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-75672.png
  • Move towards left
  • Move towards right
  • Remain stationary
  • None of these
A closed vessel contains 8g of oxygen and 7g of nitrogen. The total pressure is 10 atm at a given temperature. If now oxygen is absorbed by introducing a suitable absorbent pressure of the 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/NkT
  • (6/NkT
  • (7/NkT
40 calories of heat is needed to raise the temperature of 1 mole of an ideal monoatomic gas from 20°C to 30°C at a constant pressure. The amount of heat required to raise its temperature over the same interval at a constant volume (R = 2 cal mole–1 K–1) is
  • 20 cal
  • 40 cal
  • 60 cal
  • 80 cal
Find the ratio of specific heat at constant pressure to the specific heat constant volume for NH3
  • 1.33
  • 1.44
  • 1.28
  • 1.67
The pressure and volume of saturated water vapour are P and V respectively. It is compressed isothermally thereby volume becomes V/2, the final pressure will be
  • More than 2P
  • P
  • 2P
  • 4P
0:0:1


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