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Will the rms speed of molecules of diffe...

Will the rms speed of molecules of different gases at the same temperature be the same?

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IF c is the rms speed of 1 mol of a gas then `c=sqrt((3RT)/M)`.
The value of gas constant R is the same for 1 mol of different gases. But different gases have different molecular weights M,so at the same absolute temperature T, we have `c prop 1/sqrtM`. This means that the rms speed will not be the same for molcules for different gases,gases with higher molecular weight will have less molecular rms speed.
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Knowledge Check

  • Statement I: The root mean square speeds of the molecules of different ideal gases at the same temperature are the same. Statement II: The average translational kinetic energy of molecules of different ideal gas are same at the same temperature.

    A
    Statement I is true,statement II is true, statement II is a correct explanation for statement I
    B
    Statement I si true,statement II is true, statement II is not a correct explanation for statement I.
    C
    Statement I is true, statement II is false
    D
    Statement I is false, statement II is true,

  • The root mean square speed of the molecules of diatomic gas is u. When the temperature is doubled, the molecules dissociates into two atoms. The new rms speed of the atom is :

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    `sqrt2u`
    B
    u
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    D
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