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Gases are present intwo containers at 3...

Gases are present intwo containers at 300 K separated by a narrow tube of negligible volume having valve in between. On opening the valve the reaction `A_(2)(g) + B_(2)(g) hArr 2AB(g)` attains equilibrium at 300 K. If `K_(c) = 4` at 300 K, the concentration of AB at equilibirum is :

A

`1.33 M`

B

`2.66 M`

C

`1.66 M`

D

`0.66 M`

Text Solution

Verified by Experts

The correct Answer is:
D
`A _(2) + B _(2) hArr 2 AB`
`{:("mole at t=0", 2 4, 0), ("at eq." (2, -x), (4-x), 2x):}`
Total volume at equilibrium is `1 + 3 = 4` litre
`therefore K _(c) = ([ (2x )/(4) ] ^(2))/([ ( 2-x)/( 4) ][ (4 -x)/(4) ] ) = (4x ^(2))/( 8- 6x + x ^(2))=4 therefore 4x ^(2) - 24 x + 4x ^(2)`
`therefore x = (32)/(24) = (4)/(3) = 1. 33 " "therefore [AB] = ( 2 xx 1. 33)/(4) = 0 . 66`
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