Pressure versus temperature graph of an ideal gas is as show

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 Multiple Choice QuestionsMultiple Choice Questions

61.

The temperature of the cold junction of thermocouple is 0°C and the temperature of hot junction is To C. The emf is E = 16T - 0.04T2 µV. The inversion temperature Tf is

  • 300o C

  • 200o C

  • 500o C

  • 400o C


62.

The temperature of a gas is raised from 27° C to 927° C. The root mean square speed

  • gets halved

  • gets doubled

  • is 92727 times the earlier value

  • remains the same


63.

Two different isotherms representing the relationship between pressure p and volume V at a given temperature of the same ideal gas are shown for masses m1 and m2 , then

  • Nothing can be predicted

  • m1 < m2

  • m1 = m2

  • m1 > m2


64.

1 mole of H2 gas is contained in a box of volume V  = 1.00 m3  at  T = 300 K. The gas is heated to a temperature of  T = 3000 K  and the gas gets converted to a gas of hydrogen atoms. The final pressure would be (considering all gases to be ideal)

  • same as the pressure initially

  • 2 times the pressure initially

  • 10 times the pressure initially

  • 20 times the pressure initially


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65.

Degree of freedom for polyatomic gas

  • ≥ 4

  • ≥5

  • ≥6

  • ≥7


66.

Assertion: Vibrational energy of diatomic molecule corresponding to each degree of  freedom is  kB T.

Reason:  For every molecule, vibrational degree of freedom is 2.

  • If both assertion and reason are true and reason is the correct explanation of assertion.

  • If both assertion and reason are true but reason is not correct explanation of assertion.

  • If assertion is true but reason is false.

  • If both assertion and reason are false.


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67.

Pressure versus temperature graph of an ideal gas is as shown in figure. Density of the gas at point  A is  ρ0  Density at point B will be

           

  • 34 ρ0

  • 32 ρ0

  • 43 ρ0

  • 0


B.

32 ρ0

Density ( ρ ) 

        ρ = P MR T

P is the pressure of the gas

V is the volume of the gas

R is the universal gas constant

T is absolute temperature of gas

         ρ ∝ PT

        PTA = P0T0

and  PTB = 32P0T0

         PTB = 32PTA

∴       ρB 32 ρA

          ρB = 32 ρ0


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68.

Two balloons are filled, on with pure He gas and other by air, respectively. If the pressure and temperature of these balloons arc 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


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69.

Assertion:  The root mean square and most probable speeds of the molecules in a gas are the same. 

Reason:  The Maxwell distribution for the speed of molecules in a gas is symmetrical.

  • If both assertion and reason are true and reason is the correct explanation of the assertion

  • If both assertion and reason are true but reason is not the correct explanation of the assertion

  • If assertion is true, but reason is false

  • Both assertion and  reason are false statements


70.

vrms , vav  and vmp are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

  • vrms <  vav  < vmp

  • vrms > vav >  vmp

  • vmp > vrms > vav

  • vmp > vrms > vav


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