The molecules of a given mass of a gas have a r.m.s. velocity of 200 m/sec at 27°C and 1.0×105 N/m2 pressure. When the temperature is 127°C and pressure is 0.5×105 N/m2 , the r.m.s. velocity in m/sec will be

1. 10023                             

2. 1002

3. 4003                                 

4. None of the above

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Types of velocity
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Which of the following statement is true?

1. Absolute zero degree temperature is not zero energy temperature.

2. Two different gases at the same temperature pressure have equal root mean square velocities.

3. The root mean square speed of the molecules of different ideal gases, maintained at the same

    temperature are the same.

4. Given sample of 1 cc of hydrogen and 1 cc of oxygen both at NTP; oxygen sample has a large

    the number of molecules.

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At which temperature the velocity of O2 molecules will be equal to the velocity of N2 molecules at 0°C

1. 40°C                             

2. 93°C

3. 39°C                             

4. Cannot be calculated

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Types of velocity
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The respective speeds of the molecules are 1, 2, 3, 4 and 5 km/sec. The ratio of their r.m.s. velocity and the average velocity will be

1. 11 : 3                                   

2. 3 : 11

3. 1 : 2                                         

4. 3 : 4

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Types of velocity
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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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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

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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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