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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

Initially at equilibrium
`A+B rarr C+D`
`K_(eq) = [C][D]/([A][B]) = (1+x)(1-x)/((1-x)(1-x)) = (1+x)^(2)/(1-x)^(2) implies 10 = 1+x/1-x`
On solving x =` 9/11 implies [D] = 1.818`
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