The velocities of sound at the same temperature in two monoatomic

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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


C.

1/2

Velocity of sound in the gas of density  ρ1  is  ν1 and velocity of sound  n the gas of density ρ2 is  ν2

Velocity of sound in gas 

    v = γPρ  ∝   1ρ

Therefore

     ν1ν2 = ρ2ρ1

         = 14

   ν1ν2 = 12  


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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


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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