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Question (1)
QN0038338

A cubic vessel (with face horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of  in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground

  • (A)

    remains the same because  is very much smaller than  of the gas

  • (B)

    remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls

  • (C)

    will increase by a factor equal to  where  was the original mean square velocity of the gas

  • (D)

    will be different on the top wall and bottom wall of the vessel

Correct Answer: B
Explanation:

As the relative velocity of molecule with respect to the walls of container does not change in rocket, due to the mass of a molecule is negligible with respect to the mass of whole system and system of gas moves as a whole and  on molecule energy where.

Hence pressure of the gas inside the vessel, as observed by us, on the ground remain the same.

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Question (2)
QN0038339

1 mole of an ideal gas is contained in a cubical volume  at  (figure). One face of 

      the cube  is made up of a material which totally absorbs any gas molecule incident on it. 

At any given time,                                                                                                                                     

  • (A)

    the pressure on  would be zero

  • (B)

    the pressure on all the faces will the equal

  • (C)

    the pressure of  would be double the pressure on 

  • (D)

    the pressure on  would be half that on 

Correct Answer: D
Explanation:

Pressure on the wall due to force exerted by molecule on walls due to its rate of transfer of momentum to wall. In an ideal gas, when a molecule collides elastically with a wall, the momentum transferred to each molecule will be twice the magnitude of its normal momentum is . For the wall , absorbs those molecules.

Which strike to it so rate of change in momentum to it become only  so the pressure of  would half of .

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Question (3)
QN0038340

Boyle's law is applicable for an 

  • (A)

    adiabatic process

  • (B)

    isobaric process

  • (C)

    isothermal process

  • (D)

    isochoric process

Correct Answer: B
Explanation:

Boyle's law is applicable at constant temperature and temperature remains constant in isothermal process. For ideal gas,  constant

So,  constant (at constant temperature)

So, this process can be called as isothermal process.

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Question (4)
QN0038341

A cylinder containing an ideal gas is in vertical position and has a piston of mass  that is able to move up or down without friction (figure). If the temperature is increased

  • (A)

    both  and  of the gas will change

  • (B)

    only  will increase according to Charles' law

  • (C)

    will change but not 

  • (D)

    will change but not 

Correct Answer: C
Explanation:

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Question (5)
QN0038342

Volume versus temperature graphs for a given mass of an ideal gas are shown in figure. At two different values of constant pressure. What can be inferred about relation between  and  ?

  • (A)

  • (B)

  • (C)

  • (D)

    Data is insufficient

Correct Answer: A
Explanation:

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Question (6)
QN0038343

1 mole of  gas is contained in a box of volume  at . The gas is heated to a temperature of  and the gas gets converted to a gas of hydrogen atoms. The final pressure would be (considering all gases to be ideal)               

  • (A)

    same as the pressure initially

  • (B)

    2 times the pressure initially

  • (C)

    10 times the pressure initially

  • (D)

    20 times the pressure initially

Correct Answer: D
Explanation:

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Question (7)
QN0038344

An inflated rubber balloon contains one mole of an ideal gas, has a pressure , volume  and temperature . If the temperature rises to , and the volume is increased to , the final pressure will be 

  • (A)

  • (B)

  • (C)

    less than 

  • (D)

    between  and 1.1

Correct Answer: D
Explanation:

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