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The root mean square speed of an ideal g...

The root mean square speed of an ideal gas is given by : `u_("rms") = sqrt((3RT)/M)` Thus we conclude that `u_("rms")` speed of the ideal gas molecules is proportional to square root of the temperature and inversely proportional to the square root of the molar mass. The translational kinetic energy per mole can also be given as `1/2Mu_(rms)^(2)` . The mean free path (`lambda`) is the average of distances travelled by molecules in between two successive collisions whereas collision frequency (C.F.) is expressed as number of collisions taking place in unit time. The two terms `lambda` and C.F. are related by : `C.F = (u_("rms")/lambda)`
A jar contains He and H, in the molar ratio 1 : 5. The ratio of mean translational kinetic energy at the same temperature is

A

`1:5`

B

`5:1`

C

`2:1`

D

`1:1`

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The correct Answer is:
D
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The root mean square speed of an ideal gas is given by : u_("rms") = sqrt((3RT)/M) Thus we conclude that u_("rms") speed of the ideal gas molecules is proportional to square root of the temperature and inversely proportional to the square root of the molar mass. The translational kinetic energy per mole can also be given as 1/2Mu_(rms)^(2) . The mean free path ( lambda ) is the average of distances travelled by molecules in between two successive collisions whereas collision frequency (C.F.) is expressed as number of collisions taking place in unit time. The two terms lambda and C.F. are related by : C.F = (u_("rms")/lambda) Which of the following relation is correct for an ideal gas regarding its pressure (P) and translational kinetic energy per unit volume (E) ?

The root mean square speed of an ideal gas is given by : u_("rms") = sqrt((3RT)/M) Thus we conclude that u_("rms") speed of the ideal gas molecules is proportional to square root of the temperature and inversely proportional to the square root of the molar mass. The translational kinetic energy per mole can also be given as 1/2Mu_(rms)^(2) . The mean free path ( lambda ) is the average of distances travelled by molecules in between two successive collisions whereas collision frequency (C.F.) is expressed as number of collisions taking place in unit time. The two terms lambda and C.F. are related by : C.F = (u_("rms")/lambda) If n represents number of moles, n0 is number of molecules per unit volume, k is Boltzmann constant, R is molar gas constant, T is absolute temperature and NA is Avogadro's number then which of the following relations is wrong ?

The mean translational kinetic energy of a molecule of an ideal gas at temperature T K is

(A): Mean free path of gas molecules, varies inversely as density of the gas. (R): Mean free path of gas molecules is defined as the average distance travelled by a molecule between two successive collisions.

The root mean square speed of molecules of ideal gases at the same temperature are

The root mean square velocity of a gas is doubled when the temperature is

AAKASH SERIES-STATES OF MATTER -LECTURE SHEET -EXERCISE-III (KINETIC MOLECULAR THEORY, MOLECULAR VELOCITY, MEAN FREE PATH, COLLISION FREQUENCY) (LINKED COMPREHENSION TYPE QUESTIONS) (PASSAGE-I)
  1. The root mean square speed of an ideal gas is given by : u("rms") = sq...

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  2. The root mean square speed of an ideal gas is given by : u("rms") = sq...

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  3. The root mean square speed of an ideal gas is given by : u("rms") = sq...

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