JEE Questions for Physics Kinetic Theory Of Gases Quiz 9 - MCQExams.com

A perfect gas at 27°C is heated at constant pressure to 327°C. If original volume of gas at 27°C is V, then volume at 327°C, is
  • V
  • 3V
  • 2V
  • V/2
Hydrogen gas is filled in a balloon at 20°C. If temperature is made 40°C, pressure remaining same, what fraction of Hydrogen will come out
  • 0.07
  • 0.25
  • 0.5
  • 0.75
Which law states that effect of pressure is same for all portions
  • Pascal's law
  • Gay Lussac's law
  • Dalton's law
  • None of these
The equation for an ideal gas is PV = RT, where V represents the volume of
  • 1 g gas
  • Any mass of the gas
  • 1 g mol gas
  • 1 litre gas
The molecular weights of O2 and N2 are 32 and 28 respectively. At 15°C, the pressure of 1 g O2 will be the same as that of 1 g N2 in the same bottle at the temperature
  • –21°C
  • 13°C
  • 15°C
  • 56.4°C
Under which of the following conditions is the law PV = RT obeyed most closely be a real gas
  • High pressure and high temperature
  • Low pressure and low temperature
  • Low pressure and high temperature
  • High pressure and low temperature

Physics-Kinetic Theory of Gases-75841.png
  • Isothermal change
  • Adiabatic change
  • Isobaric change
  • Any type of change
125 ml of gas A at 0.60 atmosphere and 150 ml of gas B at 0.80 atmospheric pressure at same temperature is filled in a vessel of 1 litre volume. What will be the total pressure of mixture at the same temperature
  • 0.140 atmosphere
  • 0.120 atmosphere
  • 0.195 atmosphere
  • 0.212 atmosphere
A gas is collected over the water at 25°C. The total pressure of moist gas was 735 mm of mercury. If the aqueous vaopur pressure at 25°C is 23.8 mm. Then the pressure at 25°C is 23.8 mm. Then the pressure of dry gas is
  • 760 mm
  • 758.8 mm
  • 710.8 mm
  • 711.2 mm
The pressure is P, volume V and temperature T of a gas in the jar A and the other gas in the jar B is at pressure 2P, volume 17/4 and temperature 2T, then the ratio of the number of molecules in the jar A and B will be
  • 1 : 1
  • 1 : 2
  • 2 : 1
  • 4 : 1
2 g of O2 gas is taken at 27°C and pressure 76 cm. Hg,Find out volume of gas (in litre)
  • 1.53
  • 2.44
  • 3.08
  • 44.2
A sample of an ideal gas occupies a volume V at a pressure P and absolute temperature T, the mass of each molecule is m. The expression for the density of gas is (k = Boltzmann\'s constant)
  • mkT
  • P/kT
  • P/kTV
  • Pm/kT
A balloon contains 500 m3 of helium at 27°C and 1atmosphere pressure. The volume of the helium at –3°C temperature and 0.5 atmosphere pressure will be
  • 500 m3
  • 700 m3
  • 900 m3
  • 1000 m3
A vessel contains 1 mole of O2 gas (molar massat a temperature T. The pressure of the gas is P. An identical vessel containing one mole of He gas (molar massat temperature 2T has a pressure of
  • P/8
  • P
  • 2P
  • 8P
1 mole of gas occupies a volume of 100 ml at 50 mm pressure. What is the volume occupied by two moles of gas at 100 mm pressure and at same temperature
  • 50 ml
  • 100 ml
  • 200 ml
  • 500 ml
For ideal gas, which statement is not true
  • It obeys Boyle's law
  • It follows PV = RT
  • Internal energy depends on temperature only
  • It follows van der-Waal's equation
A given mass of a gas is allowed to expand freely until its volume becomes double. If Cband Ca are the velocities of sound in this gas before and after expansion respectively, then Ca is equal to

  • Physics-Kinetic Theory of Gases-75853.png
  • 2)
    Physics-Kinetic Theory of Gases-75854.png

  • Physics-Kinetic Theory of Gases-75855.png

  • Physics-Kinetic Theory of Gases-75856.png
At 0°C the density of a fixed mass of gas divided by pressure is x. At 100°C, the ratio will be

  • Physics-Kinetic Theory of Gases-75858.png
  • 2)
    Physics-Kinetic Theory of Gases-75859.png

  • Physics-Kinetic Theory of Gases-75860.png

  • Physics-Kinetic Theory of Gases-75861.png
The molecular weight of a gas is 44. The volume occupied by 2.2 g of this gas at 0°C and 2 atm. pressure will be
  • 0.56 litre
  • 1.2 litres
  • 2.4 litres
  • 5.6 litres
A gas at 27°C temperature and 30 atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes 10 times its initial volume, then thefinal temperature becomes
  • 100°C
  • 173°C
  • 273°C
  • –173 °C

Physics-Kinetic Theory of Gases-75866.png
  • Number of molecules
  • Atomic number
  • Mass number
  • Number of moles
A gas at 27°C has a volume V and pressure P. On heating its pressure is doubled and volume becomes three times. The resulting temperature of the gas willbe
  • 1800°C
  • 162°C
  • 1527°C
  • 600°C

Physics-Kinetic Theory of Gases-75868.png
  • Both a and b represent correction in volume
  • Both a and b represent adhesive force between molecules
  • a represents adhesive force between molecules and b correction in volume
  • a represents correction in volume and b represents adhesive force between molecules
The equation of state for 5 g of oxygen at a pressure P and temperature T, when occupying a volume V, will be
(Where R is the gas constant)
  • PV = (5/32)RT
  • PV = 5RT
  • PV = (5/2)RT
  • PV = (5/16 )RT
O2 gas is filled in a vessel. If pressure is doubled, temperature becomes four times, how many times its density will becomes
  • 2
  • 4
  • 1/4
  • 1/2
Two balloons are filled, one with pure He gas and the other by air, respectively. If the pressure and temperature of these balloons are same, then the number of molecules per unit volume is
  • More in the He filled balloon
  • Same in both balloons
  • More in air filled balloon
  • In the ratio of 1 : 4
Three containers of the same volume contain three different gases. The masses of the molecules are m1, m2 and m3 and the number of molecules in their respective containers are N1, N2 and N3. The gas pressure in the containers are P1, P2 and P3 respectively. All the gases are now mixed and put in one of the containers. The pressure P of mixture will be

  • Physics-Kinetic Theory of Gases-75873.png
  • 2)
    Physics-Kinetic Theory of Gases-75874.png

  • Physics-Kinetic Theory of Gases-75875.png

  • Physics-Kinetic Theory of Gases-75876.png
At a given volume and temperature, the pressure of a gas
  • Varies inversely as its mass
  • Varies inversely as the square of its mass
  • Varies linearly as its mass
  • Is independent of its mass
Ideal gas and real gas has major difference of
  • Phase transition
  • Temperature
  • Pressure
  • None of these
Simple behavior under all conditions of real gas is governed by the equation

  • Physics-Kinetic Theory of Gases-75879.png
  • 2)
    Physics-Kinetic Theory of Gases-75880.png

  • Physics-Kinetic Theory of Gases-75881.png

  • Physics-Kinetic Theory of Gases-75882.png

Physics-Kinetic Theory of Gases-75883.png
  • 11 g
  • 22 g
  • 33 g
  • 44 g
If the molecular weight of two gases are M1 and M2, then at a temperature the ratio of root mean square velocity v1 and v2 will be

  • Physics-Kinetic Theory of Gases-75885.png
  • 2)
    Physics-Kinetic Theory of Gases-75886.png

  • Physics-Kinetic Theory of Gases-75887.png

  • Physics-Kinetic Theory of Gases-75888.png
The r.m.s. speed of the molecules of a gas at a pressure 105 Pa and temperature 0°C is 0.5 km sec–1. If the pressure is kept constant but temperature is raised to 819°C, the velocity will become
  • 1.5 km s–1
  • 2 km s–1
  • 5 km s–1
  • 1 km s–1
At constant volume, temperature is increased. Then
  • Collision on walls will be less
  • Number of collisions per unit time will increase
  • Collisions will be in straight lines
  • Collisions will not change
When temperature of an ideal gas is increased from 27°C to 227°C, its r.m.s. speed changed from 400 m/s to Vs. The Vs is
  • 516 m/s
  • 450 m/s
  • 310 m/s
  • 746 m/s
The root mean square velocity of the molecules in a sample of helium is 5/7th that of the molecules in a sample of hydrogen. If the temperature of hydrogen sample is 0°C, then the temperature of the helium sample is about
  • 0°C
  • 0 K
  • 273°C
  • 100°C
For a gas, the r.m.s. speed at 800 K is
  • Four times the value of 200 K
  • Half the vale of 200 K
  • Twice the value of 200 K
  • Same as at 200 K
The root mean square velocity of a gas molecules of mass m at a given temperature is proportional to

  • Physics-Kinetic Theory of Gases-75895.png
  • 2)
    Physics-Kinetic Theory of Gases-75896.png

  • Physics-Kinetic Theory of Gases-75897.png

  • Physics-Kinetic Theory of Gases-75898.png
A sample of gas is at 0°C. To what temperature it must be raised in order to double the r.m.s speed of the molecule
  • 270°C
  • 819°C
  • 1090°C
  • 100°C
A gas is allowed to expand isothermally. The root mean square velocity of the molecules
  • Will increase
  • Will decrease
  • Will remain unchanged
  • Depends on the other factors
What is the velocity of wave in mono atomic gas having pressure 1 kilo pascal and density 2.6 kg/m3
  • 3.6 m/s
  • 8.9 × 103 m/s
  • Zero
  • None of these
Speed of sound in a gas is v and r.m.s velocity of the gas molecules is c. The ratio of v to c is

  • Physics-Kinetic Theory of Gases-75902.png
  • 2)
    Physics-Kinetic Theory of Gases-75903.png

  • Physics-Kinetic Theory of Gases-75904.png

  • Physics-Kinetic Theory of Gases-75905.png
The molecules of a given mass of a gas have a r.m.s. velocity of 200 m/s at 27°C and 1.0 × 105 N/m2 pressure. When the temperature is 127°C and pressure is 0.5 × 105 N/m2, the r.m.s velocity in m/s will be

  • Physics-Kinetic Theory of Gases-75907.png
  • 2)
    Physics-Kinetic Theory of Gases-75908.png

  • Physics-Kinetic Theory of Gases-75909.png
  • None of these
If the ratio of vapour density for hydrogen and oxygen is 1/16, then under constant pressure the ratio of their r.m.s velocities will be
  • 4/1
  • 1/4
  • 1/16
  • 16/1
According to the kinetic theory of gases the r.m.s velocity of gas molecules is directly proportional to
  • T
  • √T
  • T2
  • 1/√T
At a given temperature the root mean square velocities of oxygen and hydrogen molecules are in the ratio
  • 16 : 1
  • 1 : 16
  • 4 : 1
  • 1 : 4
r.m.s velocity of nitrogen molecules at NTP is
  • 492 m/s
  • 517 m/s
  • 546 m/s
  • 33 m/s
Root mean square velocity of a particle is v at pressure P. If pressure is increased two times, then the r.m.s velocity becomes
  • 2v
  • 3v
  • 0.5v
  • v
The value of densities of two diatomic gases at constant temperature and pressure are d1 and d2, then the ratio of speed of sound in these gases will be

  • Physics-Kinetic Theory of Gases-75920.png
  • 2)
    Physics-Kinetic Theory of Gases-75921.png

  • Physics-Kinetic Theory of Gases-75922.png

  • Physics-Kinetic Theory of Gases-75923.png
On any planet, the presence of atmosphere implies (Crms = root mean square velocity of molecules and Ve = escape velocity)
  • Crms<< Ve
  • Crms> Ve
  • Crms = Ve
  • Crms = 0
0:0:1


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