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X and Y are two volatile liquids with mo...

`X` and `Y` are two volatile liquids with molar weights of `10gmol^(-1)` and `40gmol^(-1)` respectively. Two cotton plugs, one soaked in `X` and the other soaked in `Y`, are simultaneously placed at the ends of a tube of length `L=24` cm, as shown in the figure.
The tube is filled with an inert gas at 1 atm pressure and a temperature of `300K`. Vapours of `X` and `Y` react to form a product whichh is first observed at a distance `d`cm from the plug soaked in `X`.
Take `X` and `Y` to have equal molecular diameters and assume ideal behaviour for the inert gas and two vapours.

The value of `d` in cm (shown in figure), as estimated from Graham's law, is

A

8

B

12

C

16

D

20

Text Solution

Verified by Experts

The correct Answer is:
C
`(r_(X))/(r_(Y)) = (d)/((24 - d)) = sqrt((40)/(10)) = 2` On solving, `d = 16 cm`
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Knowledge Check

  • X and Y are two volatile liquids with molar weights of 10gmol^(-1) and 40gmol^(-1) respectively. Two cotton plugs, one soaked in X and the other soaked in Y , are simultaneously placed at the ends of a tube of length L=24 cm, as shown in the figure. The tube is filled with an inert gas at 1 atm pressure and a temperature of 300K . Vapours of X and Y react to form a product whichh is first observed at a distance d cm from the plug soaked in X . Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and two vapours. The experimental value of d is found to be smaller than the estimate obtained using Graham's law. This is due to

    A
    larger mena free path for `X` as a compared of that of `Y`
    B
    larger mean free path for `Y` as compared to that of `X`
    C
    increased collision frequency of `Y` with the inert gas as compared to that of `X` with the inert gas
    D
    increased collision frequency of `X` with the inert gas as compared to that of `Y` with the inert gas

  • Two pieces of cotton wool soaked separetely in aqueous solution of NH_(3) and HCl are placed at opposite ends of a close glass tube as shown in diagram Select nearest position where white solid is formed

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    I
    B
    II
    C
    III
    D
    White solid does not formed

  • Two liquids which do not react chemically are placed in a bent tube as shown in figure. The height of the liquids above their surface of separation are

    A
    directly proportional to their densities
    B
    inversely proportional to their densities
    C
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    D
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