JEE Main · 2023 · Shift-IhardMOLE-167

25\,mL of 1\,M AgNO3 is added to 25\,mL of 1.05\,M KI solution. The ion(s) present in very small quantity in the…

Some Basic Concepts (Mole Concept) · Class 11 · JEE Main Previous Year Question

Question

25mL25\,\text{mL} of 1M1\,\text{M} \ceAgNO3\ce{AgNO3} is added to 25mL25\,\text{mL} of 1.05M1.05\,\text{M} KI solution. The ion(s) present in very small quantity in the solution is/are:

Options
  1. a

    \ceI\ce{I-} only

  2. b

    \ceK+\ce{K+} only

  3. c

    \ceNO3\ce{NO3-} only

  4. d

    \ceAg+\ce{Ag+} and \ceI\ce{I-} both

Correct Answerd

\ceAg+\ce{Ag+} and \ceI\ce{I-} both

Detailed Solution

🧠 The precipitate locks both \ceAg+\ce{Ag+} and \ceI\ce{I-} After mixing, the strongly insoluble \ceAgI\ce{AgI} forms. \ceK+\ce{K+} and \ceNO3\ce{NO3-} are spectators — they remain in full concentration. The two ions that build the precipitate (\ceAg+\ce{Ag+} and \ceI\ce{I-}) are present only in trace amounts in the supernatant solution because of KspK_\text{sp}.

🗺️ Per-option check

  • mmol \ceAgNO3=25×1=25\ce{AgNO3} = 25 \times 1 = 25.
  • mmol \ceKI=25×1.05=26.25\ce{KI} = 25 \times 1.05 = 26.25.
  • \ceAg+\ce{Ag+} and \ceI\ce{I-} react in 1:11:1, leaving only 1.25mmol1.25\,\text{mmol} of \ceI\ce{I-} in 50mL50\,\text{mL} — and even that gets tied down by the small KspK_\text{sp} of \ceAgI\ce{AgI}.

(a) "\ceI\ce{I-} only" — wrong; \ceAg+\ce{Ag+} is also extremely small (it's the limiting one). (b) "\ceK+\ce{K+} only" — wrong; \ceK+\ce{K+} is a bulk spectator at 0.5M\sim 0.5\,\text{M}. (c) "\ceNO3\ce{NO3-} only" — wrong; same reason as \ceK+\ce{K+}. (d) Both \ceAg+\ce{Ag+} and \ceI\ce{I-} are tied up by the precipitate, so both are in very small amounts.

⚠️ Common mistake Picking (a) because \ceAg+\ce{Ag+} is the limiting reagent. Yes, \ceAg+\ce{Ag+} runs out — but the leftover \ceI\ce{I-} is also pulled down by KspK_\text{sp} of \ceAgI\ce{AgI}. So both end up in tiny equilibrium amounts.

Answer: (d)\boxed{\text{Answer: (d)}}

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25\,mL of 1\,M AgNO3 is added to 25\,mL of 1.05\,M KI solution. The ion(s) present in very small… (JEE Main 2023) | Canvas Classes