JEE Questions for Physics Kinetic Theory Of Gases Quiz 10 - MCQExams.com

In the two vessels of same volume, atomic hydrogen and helium at pressure 1 atm and 2 atm are filled. If temperature of both the samples is same, then average speed of hydrogen atoms < CH> will be related to thatof helium < CHe> as

  • Physics-Kinetic Theory of Gases-75926.png
  • 2)
    Physics-Kinetic Theory of Gases-75927.png

  • Physics-Kinetic Theory of Gases-75928.png

  • Physics-Kinetic Theory of Gases-75929.png
If VH, VN and VO denote the root-mean square velocities of molecules of hydrogen, nitrogen and oxygen respectively at a given temperature, then
  • VN>VO>VH
  • VH>VN>VO
  • VO = VN = VH
  • VO> VH>VN
The speeds of 5 molecules of a gas (in arbitrary units) are as follows : 2, 3, 4, 5, 6 The root mean square speed for these molecules is
  • 2.91
  • 3.52
  • 4.00
  • 4.24
At a given temperature the ratio of r.m.s velocities of hydrogen molecule and helium atom will be
  • √2 ∶ 1
  • 1 ∶ √2
  • 1 : 2
  • 2 : 1
If the oxygen (O2) has root mean square velocity ofC ms–1, then root mean square velocity of the hydrogen (H2) will be

  • Physics-Kinetic Theory of Gases-75935.png
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    Physics-Kinetic Theory of Gases-75936.png

  • Physics-Kinetic Theory of Gases-75937.png

  • Physics-Kinetic Theory of Gases-75938.png
To what temperature should the hydrogen at room temperature (27°C) be heated at constant pressure so that the r.m.s. velocity of its molecules becomes double of its previous value
  • 1200°C
  • 927°C
  • 600°C
  • 108°C
The temperature of an ideal gas is reduced from 927°C to 27°C. The r.m.s velocity of the molecules becomes
  • Double the initial value
  • Half of the initial value
  • Four times the initial value
  • Ten times the initial value
The root mean square speed of hydrogen molecules at 300 K is 1930 m/s. Then the root mean square speed of oxygen molecules at 900 K will be

  • Physics-Kinetic Theory of Gases-75942.png
  • 836 m/s
  • 643 m/s

  • Physics-Kinetic Theory of Gases-75943.png

Physics-Kinetic Theory of Gases-75945.png
  • 2
  • 4
  • 1
  • 0.5
For a gas at a temperature T the root-mean-squarevelocity vrms the most probable speed vmp, and the average speed vav, obey the relationship
  • vav> vrms> vmp
  • vrms> vav>vmp
  • vmp> vav> vrms
  • vmp> vrms>vav
If the degree of freedom of a gas are f, then the ratio oftwo specific heats CP/CV is given by

  • Physics-Kinetic Theory of Gases-75950.png
  • 2)
    Physics-Kinetic Theory of Gases-75951.png

  • Physics-Kinetic Theory of Gases-75952.png

  • Physics-Kinetic Theory of Gases-75953.png
A diatomic gas molecule has translational, rotational and vibrational degrees of freedom, The CP/CV is
  • 1.67
  • 1.4
  • 1.29
  • 1.33

Physics-Kinetic Theory of Gases-75957.png
  • Diatomic
  • Mixture of diatomic and polyatomic molecules
  • Monoatomic
  • Polyatomic
The value of CV for one mole of neon gas is

  • Physics-Kinetic Theory of Gases-75959.png
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    Physics-Kinetic Theory of Gases-75960.png

  • Physics-Kinetic Theory of Gases-75961.png

  • Physics-Kinetic Theory of Gases-75962.png
Specific heats of monoatomic and diatomic gases are same and satisfy the relation which is
  • CP(mono) = CP (dia)
  • CP(mono) = CV(dia)
  • CV(mono) = CV(dia)
  • CV(mono) = CP(dia)
At constant volume the specific heat of gas is 3R /2, then the value of \'γ\' will be
  • 3/2
  • 5/2
  • 5/3
  • None of these
The specific heat of an ideal gas is
  • Proportional to T
  • Proportional to T2
  • Proportional to T3
  • Independent of T
The following sets of values for CV and CPof a gas has been reported by different students. The units are cal/g -mole-K. Which of these sets is most reliable
  • CV = 3, CP= 5
  • CV = 4, CP= 6
  • CV = 3, CP=2
  • CV = 3, CP=4.2
The specific heat at constant volume for the monoatomic argon is 0.075 kcal/kg-K, whereas its gram molecular specific heat CV = 2.98 cal/mole/k. The mass of the argon atom is
(Avogadro\'s number = 6.02 × 1023 molecules/mole)
  • 6.60 × 10–23 g
  • 3.30 × 10–23g
  • 2.20 × 10–23 g
  • 13.20 × 10–23 g
The molar specific heat at constant pressure for a monoatomic gas is

  • Physics-Kinetic Theory of Gases-75983.png
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    Physics-Kinetic Theory of Gases-75984.png

  • Physics-Kinetic Theory of Gases-75985.png
  • 4 R
For a gas, if γ = 1.4, then atomicity, CPand CV of the gas are respectively

  • Physics-Kinetic Theory of Gases-75987.png
  • 2)
    Physics-Kinetic Theory of Gases-75988.png

  • Physics-Kinetic Theory of Gases-75989.png

  • Physics-Kinetic Theory of Gases-75990.png
Which of the following formula is wrong?

  • Physics-Kinetic Theory of Gases-75992.png
  • 2)
    Physics-Kinetic Theory of Gases-75993.png

  • Physics-Kinetic Theory of Gases-75994.png

  • Physics-Kinetic Theory of Gases-75995.png
For hydrogen gas CP–CV = a and for oxygen gas CP–CV = b. So the relation between a and b is given by
  • a =16b
  • b =16a
  • a = 4b
  • a = b
For a gas the difference between the two specific heats is 4150 J/kg K. What is the specific heats at constant volume of gas, if the ratio of specific heat is 1.4?
  • 8475 J/kg K
  • 5186 J/kg K
  • 1660 J/kg K
  • 10375 J/kg K
The specific heat relation for ideal gas is
  • CP+ CV = R
  • CP–CV = R
  • CP/ CV = R
  • CV/CP= R
What is the ratio of specific heats of constant pressure and constant volume for NH3
  • 1.33
  • 1.44
  • 1.28
  • 1.67
One mole of ideal monoatomic gas (γ = 5/is mixed with one mole of diatomic gas (γ = 7/5). What is γ for the mixture? γ denotes the ratio of specific heat at constant pressure, to that at constant volume
  • 3/2
  • 23/15
  • 35/23
  • 4/3
A gaseous mixture contains equal number of hydrogen and nitrogen molecules. Specific heat measurements on this mixture at temperatures below 100K would indicate that the value of γ (ratio of specific heats) for this mixture is
  • 3/2
  • 4/3
  • 5/3
  • 7/5
The kinetic energy, due to translational motion, of most of the molecules of an ideal gas at absolute temperature T, is
  • kT
  • k/T
  • T/k
  • 1/kT
The number of translational degrees of freedom for a diatomic gas is
  • 2
  • 3
  • 5
  • 6
The value of the gas constant (R) calculated from the perfect gas equation is 8.32 joules/g mole K, whereas its value calculated from the knowledge of CPand CV of the gas is 1.98 cal/g mole K. From this data, the value of J is
  • 4.16 J/cal
  • 4.18 J/cal
  • 4.20 J/cal
  • 4.22 J/cal
For a gas, if ratio of specific heats at constant pressure and volume is γ, then value of degrees of freedom is

  • Physics-Kinetic Theory of Gases-76010.png
  • 2)
    Physics-Kinetic Theory of Gases-76011.png

  • Physics-Kinetic Theory of Gases-76012.png

  • Physics-Kinetic Theory of Gases-76013.png
310 J of heat is required to raise the temperature of 2 mole of an ideal gas at constant pressure from 25°C to 35°C. The amount of heat required to raise the temperature of the gas through the same range at constant volume is
  • 384 J
  • 144 J
  • 276 J
  • 452 J
For a gas γ = 7/5. The gas may probably be
  • Helium
  • Hydrogen
  • Argon
  • Neon
The molar specific heat at constant pressure of an ideal gas is (7/2)R. The ratio of specific heat at constant pressure to that at constant volume is
  • 5/7
  • 9/7
  • 7/5
  • 8/7

Physics-Kinetic Theory of Gases-76018.png
  • 3/4
  • 3/5
  • 2/7
  • 5/7
The degrees of freedom of a stationary rigid body aboutits axis will be
  • One
  • Two
  • Three
  • Four

Physics-Kinetic Theory of Gases-76020.png
  • 1.4
  • 1.54
  • 1.59
  • 1.62
10 moles of an ideal monoatomic gas at 10°C is mixed with 20 moles of another monoatomic gas at 20°C. Then the temperature of the mixture is
  • 15.5°C
  • 15°C
  • 16°C
  • 16.6°C
Two cylinders of equal size are filled with equal amount of ideal diatomic gas at room temperature. Both the cylinders are fitted with pistons. In cylinder A the piston is free to move while in B position is fixed. When same amount of heat is supplied to both the cylinders, the temperature of the gas in cylinder A raises by 30 K. What will be the rise in temperature of the gas in cylinder B?
  • 42 K
  • 30 K
  • 20 K
  • 56 K
If the internal energy of n1 moles of He at temperature10 T is equal to the internal energy of n2 mole ofhydrogen at temperature 6 T. The ratio of n1/ n2is
  • 3/5
  • 2
  • 1
  • 5/3
A cylinder of fixed capacity (of 44.8 litres) contains 2 moles of helium gas at STP. What is the amount of heat needed to raise the temperature of the gas in the cylinder by 20°C (Use R = 8.31 J mol–1 K–1)
  • 996 J
  • 831 J
  • 498 J
  • 374 J
The pressure is exerted by the gas on the walls of the container because
  • It loses kinetic energy
  • It sticks with the walls
  • On collision with the walls there is a change in momentum
  • It is accelerated towards the walls
Gas at a pressure P0 in contained is a vessel. If themasses of all the molecules are halved and their speeds are doubled, the resulting pressure P will be equal to
  • 4P0
  • 2P0
  • P0
  • P0 / 2
A box contains n molecules of a gas. How will the pressure of the gas be effected, if the number of molecules is made 2n
  • Pressure will decrease
  • Pressure will remain unchanged
  • Pressure will doubled
  • Pressure will become three times
The relation between the gas pressure P and average kinetic energy per unit volume E, is

  • Physics-Kinetic Theory of Gases-76029.png
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    Physics-Kinetic Theory of Gases-76030.png

  • Physics-Kinetic Theory of Gases-76031.png

  • Physics-Kinetic Theory of Gases-76032.png
A cylinder of capacity 20 litres is filled with H2gas. The total average kinetic energy of translatory motion of its molecules is 1.5 ×105 J. The pressure of hydrogen in the cylinder is
  • 2 × 106 N/m2
  • 3 × 106 N/m2
  • 4 × 106 N/m2
  • 5 × 106 N/m2
The root mean square speed of hydrogen molecules of an ideal hydrogen gas kept in a gas chamber at 0°C is 3180 metres/second. The pressure on the hydrogen gas is (Density of hydrogen gas is 8.99 × 10–2 kg/m3, 1 atmosphere = 1.01 × 105 N/m2)
  • 1.0 atm
  • 1.5 atm
  • 2.0 atm
  • 3.0 atm
At a given temperature, the pressure of an ideal gas of density ρ is proportional to

  • Physics-Kinetic Theory of Gases-76036.png
  • 2)
    Physics-Kinetic Theory of Gases-76037.png

  • Physics-Kinetic Theory of Gases-76038.png

  • Physics-Kinetic Theory of Gases-76039.png
Consider a gas with density ρ and c ̅as the root mean square velocity of its molecules contained in a volume. If the system moves as whole with velocity v, then the pressure exerted by the gas is

  • Physics-Kinetic Theory of Gases-76041.png
  • 2)
    Physics-Kinetic Theory of Gases-76042.png

  • Physics-Kinetic Theory of Gases-76043.png

  • Physics-Kinetic Theory of Gases-76044.png
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