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Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is 1 : 4, then

(A) The r.m.s. velocity of gas molecules in two vessels will be the same.

(B) The ratio of pressure in these vessels will be 1 : 4.

(C) The ratio of pressure will be 1 : 1.

(D) The r.m.s. velocity of gas molecules in two vessels will be 1 : 4.

Choose the correct answer form the options given below:

Option 1 -

A and C only

Option 2 -

B and D only

Option 3 -

A and B only

Option 4 -

C and D only

0 2 Views | Posted 2 months ago
Asked by Shiksha User

  • 1 Answer

  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    2 months ago
    Correct Option - 2


    Detailed Solution:

    V r m s = 3 R T M A s .         v 1 = v 2

    V r m s α T       η 2 = 4 n 1

     

    T 1 = T 2 ⇒ V r m s − 1 = V r m s − 2

    P 1 = n 1 R T v P z = n 2 R T v

    P 1 P 2 = n 1 n 2 = 1 4

     

     

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