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The equilibrium constant at 298K for a r...

The equilibrium constant at `298K` for a reaction, `A+BhArrC+D` is 100. If the initial concentrations of all the four species were 1M each, then equilibirum concentration of `D` (in mol`L^(-1)`) will be

A

`0.818`

B

`1.818`

C

`1.182`

D

`0.182`

Text Solution

Verified by Experts

The correct Answer is:
B
`{:(" A + B " hArr. "C + D"),("t = 0 1 1 1 1"),(t_(eq)" 1- x 1 - x 1 + x 1 + x "):}`
`rArr ((1 + x)^(2))/( (1 - x) ^(2)) = 100 rArr (1 + x)/( 1 - x) = 10`
`rArr 1 + x = 10 10 x rArr 11 x = 9`
`rArr x = (9)/(11)`
`rArr [ D] = 1 + (9)/(11)`
`rArr [D] = 1.818`
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