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← JEE Main 2022 · 25 Jun · Shift 2
ChemistrySingle correct+4 / -1Question 64 of 90

JEE Main 2022 · 25 Jun · Shift 2, Chemistry question 64

The KspK_{sp} for bismuth sulphide (Bi2S3\mathrm{Bi_2S_3}) is 1.08×10−731.08\times10^{-73}. The solubility of Bi2S3\mathrm{Bi_2S_3} in mol L−1^{-1} at 298 K is

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Answer and worked solution

Official answer: A

Solubility product. Bi2S3⇌2Bi3++3S2−\mathrm{Bi_2S_3\rightleftharpoons2Bi^{3+}+3S^{2-}}: Ksp=(2s)2(3s)3=108s5K_{sp}=(2s)^2(3s)^3=108s^5.

Solve. s5=10−75s^5=10^{-75}, so s=1.0×10−15s=1.0\times10^{-15} mol L−1^{-1}.

(A)