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← JEE Main 2026 · 8 Apr · Shift 2
ChemistrySingle correct+4 / -1Question 55 of 75

JEE Main 2026 · 8 Apr · Shift 2, Chemistry question 55

Consider the following reactions in which all the reactants and products are present in gaseous state

2xy⇌x2+y22xy\rightleftharpoons x_2+y_2, K1=2.5×105K_1=2.5\times10^5

xy+12z2⇌xyzxy+\frac12z_2\rightleftharpoons xyz, K2=5×10−3K_2=5\times10^{-3}

The value of K3K_3 for the equilibrium 12x2+12y2+12z2⇌xyz\frac12x_2+\frac12y_2+\frac12z_2\rightleftharpoons xyz is :

Choose one option
Answer and worked solution

Official answer: C

Combine. Half the reverse of reaction 1 gives 12x2+12y2⇌xy\tfrac12x_2+\tfrac12y_2\rightleftharpoons xy, with K=(1K1)1/2=2×10−3K=\left(\tfrac1{K_1}\right)^{1/2}=2\times10^{-3}.

Add reaction 2.
K3=2×10−3×5×10−3=1.0×10−5.K_3=2\times10^{-3}\times5\times10^{-3}=1.0\times10^{-5}.

(C)