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Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - IIT JAM MCQ


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10 Questions MCQ Test - Kinetic Theory Of Gases MCQ Level – 2 (part - 2)

Kinetic Theory Of Gases MCQ Level – 2 (part - 2) for IIT JAM 2024 is part of IIT JAM preparation. The Kinetic Theory Of Gases MCQ Level – 2 (part - 2) questions and answers have been prepared according to the IIT JAM exam syllabus.The Kinetic Theory Of Gases MCQ Level – 2 (part - 2) MCQs are made for IIT JAM 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Kinetic Theory Of Gases MCQ Level – 2 (part - 2) below.
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Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 1

An ideal gas is expanded adiabatically. How many times the gas to be expanded to reduce the rms velocity of molecules 2 times.
Select one:

Detailed Solution for Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 1

To reduce the rms velocity two times, temperature should be reduced by 4 times. 

∴ 
V1 = V, V2 = ?
From adiabatic law,

⇒ 
⇒ 

⇒ 
⇒ 
The correct answer is: 16 times

Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 2

A box containing N molecules of a perfect gas at temperature T1 and pressure p1.
The number of molecules in the box is doubled keeping the total kinetic energy of the gas same as before. If the new pressure is p2 and temperature T2, then.
Select one:

Detailed Solution for Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 2

Kinetic energy of N molecule of gas

Initially  and finally 
But E1= E2 and N2 = 2N1
⇒ 
⇒ 
Since the kinetic energy is constant
⇒ 
⇒ N1 T1 = N2 T2
⇒ NT = constant
and  pV = NkT
⇒ p1 V1 = p2 V2
∴ p1 = p2 (as V1 = V2 )
The correct answer is: 

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Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 3

Three closed vessels A, B and C are at the same temperature T and contain gases which obey Maxwellian distribution of velocities. Vessel A contains only O2 , B only N2 and C a mixture of equal quantities of O2 and N2. If the average speed of O2 molecules is vessel A is v1 , that of the N2 molecules in vessel R is v2 , the average speed of O2 molecule in vessel C is (where M is the mass of an oxygen molecule)
Select one:

Detailed Solution for Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 3

Average speed of gas molecules

It depends on temperature and molecular mass so the average speed of oxygen will be same in vessel C and A and that is equal to v1.
The correct answer is: v1

Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 4

Gas at pressure p0 contained in a vessel. If the masses of all the molecules are halved and their speeds  are doubled, the resulting pressure p will be equal to.
Select one:

Detailed Solution for Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 4


⇒ 
⇒ 
⇒ p2 = 2p1 = 2p0
The correct answer is:

Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 5

Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecule inside will.
Select one:

Detailed Solution for Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 5

If a lorry is moving with constant velocity than the vrms of gas molecules inside the container will not along and we know that T ∝ vrms so temperature remains same.
The correct answer is: Remain same

Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 6

The graph which represents the variation of mean kinetic energy of molecules with temperature t°C is.
Select one:

Detailed Solution for Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 6

Mean kinetic energy of the molecule

where
T = temperature in Kelvin and
t = temperature in Celsius
⇒  Boltzmann constant
Comparing with  y = mx + c

⇒ Graph between E and t will be a straight line with positive intercept on E-axisand positive slope with t-axis.
The correct answer is: 

Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 7

At what temperature is the root mean square velocity of gaseous hydrogen molecules is equal to that of the oxygen molecules at 47°C.
Select one:

Detailed Solution for Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 7

For oxygen O2,

and for hydrogen H2,

According to problem,  
⇒ 
⇒ 
The correct answer is: 20 K

Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 8

An air bubble of volume V0 is released by a fish at a depth h in a lake. The bubble rises to the surface. Assume constant temperature and standard atmosphere pressure P above the lake. The volume of the bubble just before touching the surface will be (density of water is ρ.
Select one:

Detailed Solution for Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 8

According to Boyle’s law, multiplication of pressure and volume will remain constant at bottom and top.
If p is atmospheric pressure at the top of the lake and the volume of bubble is V then
p1V1 = p2 V2
⇒ (p + hρp)V0 = pV
⇒ 
The correct answer is: 

Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 9

A gas is filled in the cylinder shown below. The pistons are joined by a string. If the gas is heated, the piston will.

Select one:

Detailed Solution for Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 9

When temperature of gas increases, it expands. As the cross-sectional area of right piston is more, therefore greater force will work on it (F = PA). So piston will move towards right.
The correct answer is: Move towards right

Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 10

The figure below shows graph of pressure and volume of a gas at two temperatures T1 and T2 which of the following inferences is correct?

Select one:

Detailed Solution for Kinetic Theory Of Gases MCQ Level – 2 (part - 2) - Question 10

For a given pressure, volume will be more if temperature is more (Charle’s law) From the graph, it is clear that V2 > V1
∴ T2 > T1
The correct answer is:
T1< T2

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