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The error pattern
Ignoring ionic stoichiometry produces the wrong power and numerical factor.
An error clinic starts with the reason an approach fails, rather than memorising an exception in isolation. State the hidden assumption or changed definition that makes the mistaken approach tempting.
Rebuild the correct model
A solubility product relates ion activities, often approximated by concentrations, at saturation for a specified dissolution.
For AgCl(s)⇌Ag⁺+Cl⁻, K_sp≈[Ag⁺][Cl⁻].
Identify the species, reaction conditions and model before manipulating numbers. Balance atoms and charges where relevant. Keep amount, mass, concentration and activity conventions separate; specify when an ideal concentration approximation replaces a more exact thermodynamic description.
Diagnostic question
For CaF₂ with solubility s in pure water, express the concentration product.
Before solving, write one sentence explaining how the error pattern above could affect this question. Then choose a method that keeps the correct definition, convention or model visible.
Diagnostic answer
[Ca²⁺]=s and [F⁻]=2s, giving K_sp≈s(2s)²=4s³.
Compare the actual reasoning steps, not only the final value or chosen word. A correct final result obtained from inconsistent assumptions is not a dependable method for a different problem.
Verification checklist
Check atom and charge bookkeeping, units, signs and the identity of the species to which a statement applies. For an organic transformation, retain the substrate and conditions. A familiar reagent or periodic trend is not enough to prove every proposed product or comparison.
Keep an error-log entry with the topic, the failed step, the corrected principle and a later reattempt. Track whether the same failure recurs. The purpose is to improve reasoning on this topic; the log is not a certificate of examination performance.
Official sources and verification
Sources checked on 26 October 2026. A source’s date, programme and campus limit which claims it supports. Official pages may change after review.
- UEM — IEMJEE examination information
Historical examination pattern; verify the current cycle on the central portal.
- NTA — explicitly labelled JEE Main 2026 syllabus
Historical PCM syllabus reference. Lessons and exercises are independently authored, not official IEMJEE papers or verified 2027 paper predictions.
- NCERT — official textbook catalogue
Primary textbook reference for checking school-level concepts. This directory does not certify the independent lesson or establish IEM examination weightage.
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