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← JEE Main 2022 · 26 Jul · Shift 1
ChemistryInteger+4 / -1Question 86 of 90

JEE Main 2022 · 26 Jul · Shift 1, Chemistry question 86

At 298 K, the equilibrium constant is 2×10152\times10^{15} for the reaction :

Cu(s)+2Ag+(aq)⇌Cu2+(aq)+2Ag(s)\mathrm{Cu(s)+2Ag^+(aq)\rightleftharpoons Cu^{2+}(aq)+2Ag(s)}

The equilibrium constant for the reaction

12Cu2+(aq)+Ag(s)⇌12Cu(s)+Ag+(aq)\mathrm{\tfrac12Cu^{2+}(aq)+Ag(s)\rightleftharpoons\tfrac12Cu(s)+Ag^+(aq)}

is x×10−8x\times10^{-8}. The value of xx is ______. (Nearest Integer)

Answer and worked solution

Official answer: 2

Reverse and halve. K=(2×1015)−1/2≈2.2×10−8K=(2\times10^{15})^{-1/2}\approx2.2\times10^{-8}, so 2.

Answer: 2