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← JEE Main 2016 · 3 Apr · Shift 1
ChemistrySingle correct+4 / -1Question 37 of 90

JEE Main 2016 · 3 Apr · Shift 1, Chemistry question 37

The equilibrium constant at 298 K for a reaction A+B⇌C+D\ce{A + B <=> C + D} is 100. If the initial concentration of all the four species were 1 M each, then equilibrium concentration of D (in mol L−1^{-1}) will be :

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Answer and worked solution

Official answer: C

Q = 1 < K, so the reaction goes forward by x: (1+x)2(1−x)2=100\dfrac{(1+x)^2}{(1-x)^2}=100 gives 1+x1−x=10\dfrac{1+x}{1-x}=10 and x=911=0.818x=\frac9{11}=0.818. So [D] = 1.818 M.