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

JEE Main 2026 · 4 Apr · Shift 1, Chemistry question 55

At T(K), the equilibrium constant of AX2(g)+BX2(g)⇌C(g)\ce{A2(g) + B2(g) <=> C(g)} is 2.7×10−52.7\times10^{-5}. What is the equilibrium constant for 13 AX2(g)+13 BX2(g)⇌13 C(g)\ce{1/3A2(g) + 1/3B2(g) <=> 1/3C(g)} at the same temperature?

Choose one option
Answer and worked solution

Official answer: D

Scaling an equation. Multiplying an equation by 13\frac13 raises K to the power 13\frac13:
K′=(2.7×10−5)1/3=3×10−2.K'=(2.7\times10^{-5})^{1/3}=3\times10^{-2}.

(D)