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According to Maxwell distribution, the a...

According to Maxwell distribution, the area under the curve is equal to the total number of molecules in collision. On increasing temperature, fraction of molecules having speed equal to `u_(mp)` .(most probable speed) decreases. The speed distribution also depends on the mass of the molecules along with the temperature. In general, the distribution depends upon the value of `M/T ` (where M is molar mass and Tis temperature in kelvin). 

Relationship between `T_1` and `T_2` is given as 

A

`T_1  = T_2`

B

`T_1 gt T_2`

C

`T_2 gt T_1`

D

can't be determined

Text Solution

Verified by Experts

`T_2 > T_1`.
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According to Maxwell distribution, the area under the curve is equal to the total number of molecules in collision. On increasing temperature, fraction of molecules having speed equal to u_(mp) .(most probable speed) decreases. The speed distribution also depends on the mass of the molecules along with the temperature. In general, the distribution depends upon the value of M/T (where M is molar mass and Tis temperature in kelvin). If at T_1 K is u, then value of u_(rms) at T_2 is

According to Maxwell distribution, the area under the curve is equal to the total number of molecules in collision. On increasing temperature, fraction of molecules having speed equal to u_(mp) .(most probable speed) decreases. The speed distribution also depends on the mass of the molecules along with the temperature. In general, the distribution depends upon the value of M/T (where M is molar mass and Tis temperature in kelvin). On increasing the temperature, number of molecules having speed between u_1 and u_2

Knowledge Check

  • Molecules of CO at moderate temperature have energy equal to

    A
    `(7)/(2)k_(B)T`
    B
    `(5)/(2)k_(B)T`
    C
    `(3)/(2)k_(B)T`
    D
    `(1)/(2)k_(B)T`
  • The most probable speed of O_2 molecules at T(K) is

    A
    `sqrt((RT)/(4 pi))`
    B
    `sqrt((RT)/(16pi))`
    C
    `sqrt((RT)/(16))`
    D
    `sqrt((3RT)/(32))`
  • The most probable speed of O_(2) molecules at T(K) is

    A
    `sqrt(RT/(4pi))`
    B
    `sqrt(RT/(16pi))`
    C
    `sqrt(RT/(16))`
    D
    `sqrt(3RT/(32pi))`
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