TS EAMCET · Chemistry · Solid State

A solid has a structure in which 'W' atoms are located at the corners of a cubic lattice, oxygen atoms at the edge centre and \(\mathrm{Na}\) atom at the body centre. The formula of the compound is

A \(\mathrm{NaWO}_2\)
B \(\mathrm{Na}_2 \mathrm{WO}_3\)
C \(\mathrm{NaWO}_3\)
D \(\mathrm{NaWO}_4\)

Verified Solution

Answer & Solution

Correct Answer

(C) \(\mathrm{NaWO}_3\)

Step-by-step Solution

Detailed explanation

\(\therefore\) Effective no. of atoms in one unit cell \(\begin{aligned}& =8 \times \frac{1}{8}+12 \times \frac{1}{4}+1 \times 1 \\& =1+3+1\end{aligned}\) (W) \((\mathrm{O})(\mathrm{Na})\) The formula of the compound \(=\mathrm{NaWO}_3\).

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-1 Acid		List-2 Ka(ionization constant)
A)	$HCN$	I)	$6.8 \times 10^{- 4}$
B)	$H_{2} C_{2} O_{4}$	II)	$8.9 \times 10^{- 8}$
C)	$H_{2} S$	III)	$4.9 \times 10^{- 10}$
D)	Niacin	IV)	$5.6 \times 10^{- 2}$
		V)	$1.5 \times 10^{- 5}$