A container has N molecules at absolute temperature T. If the number of molecules is doubled but kinetic energy in the box remains the same as before, the absolute temperature of the gas is:

  • T

  •  T2

  • 3T

  • 4T

During an experiment, an ideal gas is found to obey an additional law VP= constant. The gas is initially at temperature T and volume V. When it expands to volume 2V, the resulting temperature is:

  •  T2

  • 2T

  •  2T

  •  T2

When the pressure remaining constant, at what temperature, will the r.m.s. speed of gas molecules increases by 10% of the r.m.s. the speed at NTP?

  • (1) 85 K

  • (2) 81.5 oC

  • (3) 815.3 K

  • (4) -81.5 oC

Select the appropriate property of an ideal gas.

  • Its molecules are infinitesimally small.

  • There are no forces of interaction between its molecules.

  • It strictly obeys the ideal gas laws.

  • All of these

A real gas behaves as an ideal gas at:

  • Very low pressure and high temperature.

  • High pressure and low temperature.

  • High pressure and high temperature.

  • Low pressure and low temperature.

A gas at a pressure P0 is contained in a vessel. If the masses of all the molecules are halved and their velocities doubled, then the resulting pressure P will be:

  • 4P0

  • 2P0

  • P0

  •  P02

If E is the energy density in an ideal gas, then the pressure of the ideal gas is:

  •  P=23E

  •  P=32E

  •  P=52E

  •  P=25E

A sample of a gas in a box is at pressure P0 and temperature T0. If the number of molecules is doubled and the total kinetic energy of the gas is kept constant, then the final temperature and pressure will be:

  • T0, P0

  •  T0, 2P0

  • T022P0

  • T02P0

The average velocity of gas molecules is:

  • proportional to T.

  • proportional to T.

  • zero.

  • Not possible to determine

Which of the following methods will enable the volume of an ideal gas to be increased four times?

  • Double the temperature and reduce the pressure to half.

  • Double the temperature and also double the pressure.

  • Reduce the temperature to half and double the pressure.

  • Reduce the temperature to half and reduce the pressure to half.

The average speed of gas molecules is v at pressure P. If by keeping the temperature constant, the pressure of the gas is doubled, then average speed will become:

  •  2v

  • v

  • 2v

  •  v2

Four molecules of a gas have speeds of 1, 2, 3 and 4 km/s. The value of the r.m.s. speed of the gas molecules is:

  •  1215 km/s

  •  1210 km/s

  • 2.5 km/s

  •  152 km/s

The r.m.s. speed of the molecules of an enclosed gas is v. What will be the r.m.s. speed if the pressure is doubled, keeping the temperature constant?

  •  v2
  • v
  • 2v
  • 4v

The ratio of number of collisions per second at the walls of containers by He and O2 gas molecules kept at the same volume and temperature is: (assume normal incidence on walls)

  • 1: 2

  • 2: 1

  • 22: 1

  • 1: 22

An ant is moving on a plane horizontal surface. The number of degrees of freedom of the ant will be:

  • 1

  • 2

  • 3

  • 6

If a gas has 'f' degree of freedom, the ratio of the specific heats of the gases, CPCV is

  •  1+f2

  •  1+f2

  •  1+1f

  •  1+2f

A mixture of ideal gases has 2 moles of He, 4 moles of oxygen and 1 mole of ozone at absolute temperature T. The internal energy of the mixture is:

 

  • 13RT

  • 11RT

  • 16RT

  • 14RT

E0 and EH respectively represent the average kinetic energy of a molecule of oxygen and hydrogen. If the two gases are at the same temperature, which of the following statement is true?

  • E0  > EH

  • E0  = EH

  • E0  < EH

  • Data insufficient

14 g of CO at 27 oC is mixed with 16 g of O2 at 47 oC. The temperature of the mixture is: (vibration mode neglected)

  • - 5 oC

  • 32 oC

  • 37 oC

  • 27 oC

When one mole of a monatomic gas is mixed with one mole of a diatomic gas, then the equivalent value of γ for the mixture will be: (vibration mode neglected)

  • (1) 33

  • (2) 1.40

  • (3) 1.50

  • (4) 1.6

A box of negligible mass containing 2 moles of an ideal gas of molar mass M and adiabatic exponent γ moves with constant speed v on a smooth horizontal surface. If the box suddenly stops, then the change in the temperature of the gas will be:

  •  (γ-1)Mv24R

  •  γMv22R

  •  Mv22(γ-1)R

  •  (γ-1)Mv22R

On increasing number density for a gas in a vessel, the mean free path of a gas:

  • Decreases

  • Increases

  • Remains same

  • Becomes double

Two closed containers of equal volume are filled with air at pressure P0 and temperature T0. Both are connected by a narrow tube. If one of the containers is maintained at temperature T0 and the other at temperature T, then new pressure in the container will be:

  •  2P0TT+T0

  •  P0TT+T0

  •  P0T2(T+T0)

  •  T+T0P0

The pressures of a gas filled in the bulb of a constant volume gas thermometer at temperatures 0°C and 100°C are 27.50 cm and 37.50 cm of Hg respectively. At an unknown temperature, the pressure is 32.45 cm of Hg. The unknown temperature is:

  •  30°C

  •  39°C

  •  49.5°C

  •  29.6°C

A graph is plotted by taking pressure along the y-axis and centigrade temperature along the x-axis for an ideal gas at constant volume. The x-intercept of the graph is:

  •  -273.15°C

  •  -273.15 K

  •  -273°C

  •  -273 K

Heat is  associated with:

  • kinetic energy of random motion of molecules.

  • kinetic energy of orderly motion of molecules.

  • total kinetic energy of random and orderly motion of molecules.

  • kinetic energy of random motion in some cases and kinetic energy of orderly motion in other cases.

Which one of the following graphs represents the behaviour of an ideal gas?

  •  

  •  

  •  

  •  

A jar has a mixture of hydrogen and oxygen gases in the ratio of 1: 5. The ratio of mean kinetic energies of hydrogen and oxygen molecules is:

  • 1: 16

  • 1: 4

  • 1: 5

  • 1: 1

A vessel contains a mixture of one mole of oxygen and two moles of nitrogen at 300 K. The ratio of the average rotational kinetic energy per O2 molecule to that per N2 molecule is:

  • 2: 1

  • 1: 2

  • 1: 1

  • Depends on the moments of inertia of the two molecules

A closed compartment containing gas is moving with some acceleration in horizontal direction. Neglecting effect of gravity, pressure in the compartment is:

  • same everywhere

  • lower in the front

  • lower in the rear side

  • lower in the upper side

0:0:1


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