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

Options

A. 0.818
B. 1.818
C. 1.182
D. 0.182

Answer

B

Explanation

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`