TS EAMCET · Chemistry · Ionic Equilibrium

Which one of the following statements is not correct?

A The \(\mathrm{pH}\) of \(1.0 \times 10^{-8} \mathrm{M} \mathrm{HCl}\) is less than 7
B The ionic product of water at \(25^{\circ} \mathrm{C}\) is \(1.0 \times 10^{-14} \mathrm{~mol}^2 \mathrm{~L}^{-2}\)
C \(\mathrm{Cl}^{-}\)is a Lewis acid
D Bronsted Lowry theory cannot explain the acidic character of \(\mathrm{AlCl}_3\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(\mathrm{Cl}^{-}\)is a Lewis acid

Step-by-step Solution

Detailed explanation

\(\mathrm{Cl}^{-}\)is a Lewis base, not a Lewis acid as its octet is complete and it have a tendency to give electrons.

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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	List- $I$		List- $II$
$(A)$	$\sin^{- 1} (\frac{2 \sqrt{2}}{3}) + \sin^{- 1} \frac{1}{3}$	$(I)$	$k π \pm {(- 1)}^{k} \frac{π}{6}, k \in Z$
$(B)$	$\sin^{- 1} (\frac{{(- 1)}^{n}}{2}), n \in Z$	$(II)$	$k π \pm 1, k \in Z$
$(C)$	$\tan^{- 1} (\sec \frac{π}{4} + \tan \frac{π}{4})$	$(III)$	$\frac{3}{2}$
$(D)$	$\sin^{- 1} \|\sin x\| = \sqrt{\sin^{- 1} \|\sin x\|} \Rightarrow x \in$	$(IV)$	$\frac{3 π}{8}$
		$(V)$	$\frac{π}{2}$