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The gas molecules randomly move in all d...

The gas molecules randomly move in all directions and collide with each other and with the wall of the container. If is difficult to determine the speed of an individual molecule but it had become passible to work out the distribution of molecules among different molecular speeds. This is known as Maxwell Boltzmann distribution
consider the following graph about Maxwell's distribution of speed at two different temperature `T_(1) " and " T_(2)`

In the above graph the point 'P' refers to :

A

root mean square speed at `T_(1)`

B

average speed at `T_(1)`

C

most probable speed at `T_(1)`

D

highest possible speed at `T_(1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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The gas molecules randomly move in all directions and collide with each other and with the wall of the container. If is difficult to determine the speed of an individual molecule but it had become passible to work out the distribution of molecules among different molecular speeds. This is known as Maxwell Boltzmann distribution consider the following graph about Maxwell's distribution of speed at two different temperature T_(1) " and " T_(2) Total area under the curve at T_(1) is :

The gas molecules randomly move in all directions and collide with each other and with the wall of the container. If is difficult to determine the speed of an individual molecule but it had become passible to work out the distribution of molecules among different molecular speeds. This is known as Maxwell Boltzmann distribution consider the following graph about Maxwell's distribution of speed at two different temperature T_(1) " and " T_(2) Relation between T_(1) "and " T_(2) is :

Knowledge Check

  • The gas molecules randomly move in all directions and collide with each other and with the wall of the container. If is difficult to determine the speed of an individual molecule but it had become passible to work out the distribution of molecules among different molecular speeds. This is known as Maxwell Boltzmann distribution consider the following graph about Maxwell's distribution of speed at two different temperature T_(1) " and " T_(2) The point Q refers to:

    A
    number of molecules with speed at P
    B
    fraction of total molecules with speed at P
    C
    root mean square speed
    D
    total kinetic energy of molecules at P

  • The gas molecules randomly move in all directions and collide with each other and with the wall of the container. If is difficult to determine the speed of an individual molecule but it had become passible to work out the distribution of molecules among different molecular speeds. This is known as Maxwell Boltzmann distribution consider the following graph about Maxwell's distribution of speed at two different temperature T_(1) " and " T_(2) Select the correct statement (s):

    A
    Most probable speed increases with increase in temperature
    B
    Fraction of total molecules with most probable velocity decreases with increase in temperature
    C
    Area under the curve increases with increase in the temperature
    D
    none of the above

  • The gas molecules randomly move in all directions and collide with each other and with the wall of the container. If is difficult to determine the speed of an individual molecule but it had become passible to work out the distribution of molecules among different molecular speeds. This is known as Maxwell Boltzmann distribution consider the following graph about Maxwell's distribution of speed at two different temperature T_(1) " and " T_(2) The shaded area represents :

    A
    number of molecules having speed between `u_(1) " and " u_(2)`
    B
    number of molecules having speed less than the most probable speed
    C
    number of molecules having `v_(rms) " at " T_(1)`
    D
    fraction of molecules having average speed

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    The gas molecules randomly move in all directions and collide with each other and with the wall of the container. If is difficult to determine the speed of an individual molecule but it had become passible to work out the distribution of molecules among different molecular speeds. This is known as Maxwell Boltzmann distribution consider the following graph about Maxwell's distribution of speed at two different temperature T_(1) " and " T_(2) The curve has which of the following characteristics ? (i) It has symmetrical distribution of molecules against molecular velocity (ii) The area under the curve gives the total number of molecules. (iii) The maxima of teh curve shifts towards right as the temperature is raised. (iv) The area under the curve is independent of temperature Select the correct statements from the codes given below:

    The gas molecules randomly move in an directions and collide with each other and with the wall of the container. It is dificult to detemine the speed of an individual molecule but it has become possible to Work out the distribution of molecules among different molecular speeds. This is known as Maxwell Boltzmann distribution. Consider the following graph about Maxwell's distribution of speeds at two different temperatures T_(1) and T_(2) and answer the following questions: In the above graph the point P' refers to

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