The average velocity of the molecules in a gas in equilibrium is

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71.

The velocities of sound at the same temperature in two monoatomic gases of densities ρ1 and  ρ2 and  ν1 and  ν2 respectively. If  ρ1 / ρ2 = 4, then the value of  ν1/ ν2  is

  • 1/4

  • 2

  • 1/2

  • 4


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72.

The average velocity of the molecules in a gas in equilibrium is

  • proportional to T

  • proportional to T

  • proportional to T2

  • equal to zero


D.

equal to zero

The average velocity vector of random motion of molecules is always zero.


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73.

If at the same temperature and pressure, the densities of two diatomic gases are d1 and d, respectively, the ratio of mean kinetic energy per molecule of gases will be

  • 1 : 1

  • d1 : d2

  • d1 : d2

  • d2 : d1


74.

The value of the gas constant (R) calculated from the perfect gas equation is 8.32 J/g mol-K, whereas its, value calculated from the knowledge of CP and Cv of the gas is 1.98 cal/g mol-K. From this data value of J is

  • 4.16 J/cal

  • 4.18 J/cal

  • 4.20 J/cal

  • 4.22 J/cal


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75.

A monoatomic gas supplied the heat Q very slowly keeping the pressure constant. The work done by the gas will be:

  • 23Q

  • 35Q

  • 25Q

  • 15Q


76.

When the temperature of an ideal gas is increased from 27°C to 227°C, its rms speed is changed from 400 metre/sec to vs. The vs is :

  • 516 m/s

  • 450 m/s

  • 310 m/s

  • 746 m/s


77.

Universal gas constant is :

  • CpCv

  • Cp - Cv

  • CP + CV

  • CVCP


78.

A mixture of oxygen and hydrogen are filled in a vessel at a fixed temperature. The ratio of average kinetic energies of atoms of H2 and O2 is

  • 1 : 16

  • 1 : 8

  • 1 : 12

  • 1 : 1


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79.

The speed of sound in a gas (γ=1.5) at 300 K is 340 m/s. The rms velocity of gas molecules will be

  • 340  m/s

  • 3402 m/s

  • 3402 m/s

  • 34015 m/s


80.

If 2 g mole of diatomic gas and 1 g mole of monoatomic gas are mixed together, then the ratio of specific heats of mixture is

  • 1 : 24

  • 1 : 58

  • 1 : 46

  • 1 : 60


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