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The equilibrium constant Kc at 298 K for the reaction A + B ⥨ C + D is 100. Starting with an equimolar solution with concentration of A, B, C and D all equal to 1 M, the equilibrium concentration of D is ___________________ × 10⁻² M. (Nearest integer)
When starting with equimolar concentrations (1M each) and given Kc=100,
we need to solve for the equilibrium shift.
If x is the amount reacted, then at equilibrium: [A]=[B]=1-x, [C]=[D]=1+x.
Substituting into Kc expression:
Kc = ([C][D])/([A][B]) = ((1+x)(1+x))/((1-x)(1-x)) = (1+x)²/(1-x)² = 100.
Taking square root: (1+x)/(1-x) = 10. Solving for x: x = 0.818.
Therefore [D] = 1 + 0.818 = 1.818 M = 182 × 10⁻² M.
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