Two vessels having equal volume contain molecular hydrogen at one atmosphere and helium at two atmospheres respectively. If both samples are at the same temperature, the mean velocity of hydrogen molecules is

1. Equal to that of helium                           

2. Twice that of helium

3. Half that of helium                                 

4. 2 times that of helium

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Types of velocity
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The temperature of an ideal gas is increased from 27°C to 927°C. The root mean square speed of its molecules becomes
 
1. Twice
 
2. Half
 
3. Four times
 
4.One-fourth

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Types of velocity
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According to the kinetic theory of gases the r.m.s. velocity of gas molecules is directly proportional to

1. T                                 

2. T

3. T2                                 

4. 1/T

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Types of velocity
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At a given temperature the root mean square velocities of oxygen and hydrogen molecules are in the ratio

1.  16 : 1                               

2.  1 : 16

3.  4 : 1                                 

4.  1 : 4

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Types of velocity
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The temperature of an ideal gas is increased from 120 K to 480 K. If at 120 K, the root mean square velocity of the gas molecules is v, at 480 K it becomes

1.  4v                                 

2.  2v

3.  v/2                               

4.  v/4

Concept Questions :-

Types of velocity
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The value of densities of two diatomic gases at constant temperature and pressure are d1 and d2 , then the ratio of the speed of sound in these gases will be :

1. d1d2                                   

2. d2/d1

3. d1/d2                             

4. d1d2

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Types of velocity
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By what factor the r.m.s. velocity will change, if the temperature is raised from 27°C to 327°C

1.  2                                 

2.  2

3.  22                               

4.  1

Concept Questions :-

Types of velocity
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At a given temperature if Vrms is the root mean square velocity of the molecules of a gas and Vs the velocity of sound in it, then these are related as γ=CPCv

1. Vrms=Vs                             

2. Vrms=3γ×Vs

3. Vrms=γ3×Vs                   

4. Vrms=3γ×Vs

Concept Questions :-

Types of velocity
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Let A and B the two gases and given : TAMA=4.TBMB ; where T is the temperature and M is molecular mass. If CA and CB are the r.m.s. speed, then the ratio CACB will be equal to

1. 2                         

2. 4

3. 1                         

4. 0.5

Concept Questions :-

Types of velocity
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For a gas at a temperature the root-mean-square velocity vrms , the most probable speed vmp , and the average speed vav obey the relationship

1. vav>vrms>vmp                               

2. vrms>vav>vmp

3. vmp>vav>vrms                               

4. vmp>vrms>vav

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Types of velocity
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