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Maxwell's Distribution of Speeds

The gas molec...

Question

The gas molecules randomly move in all directions and collide with each other and with the wall of the container. It is difficult to determine 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 $T_{2}$ .
Relation between $T_{1}$ and $T_{2}$ is

A

T_{1} = T_{2}

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B

T_{1} > T_{2}

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C

T_{1} < T_{2}

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D

Cannot be predicted

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Solution

The correct option is C $T_{1} < T_{2}$
Relation between $T_{1}$ and $T_{2}$ is $T_{2} > T_{1}$
The point 'P' represents the most probable speed at temperature $T_{1}$ . The point 'R' represents the most probable speed at temperature $T_{2}$ .
Since $R > P$ , $T_{2} > T_{1}$
The fraction of molecules with most probable speed increases with increase in temperature.

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Similar questions

The gas molecules randomly move in all directions and collide with each other and with the wall of the container. It is difficult to determine 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}

T_{2}

.

Total area under the curve at

T_{1}

The gas molecules randomly move in all directions and collide with each other and with the wall of the container. It is difficult to determine 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}

T_{2}

.

The shaded area represents.

The gas molecules randomly move in all directions and collide with each other and with the wall of the container. It is difficult to determine 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}

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 the 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.

Q. The given figure shown the Maxwell distribution of molecular speeds of gas at three different temperatures

T_{1}, T_{2}

T_{3}

. The correct order of temperature is :

The given figure shows the Maxwell distribution of molecular speeds of a gas at three different temperature

T_{1}, T_{2}

T_{3}

. The correct order of temperature is:

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