TS EAMCET · Chemistry · Solid State

Potassium crystallizes in $FCC$ lattice with unit cell length of $0.5 nm .$ The approximate density $(in {gcm}^{- 3}),$ if it contains $0.1 %$ Schottky defects is

A $1.2$
B $2.1$
C $1.7$
D $2.8$

Verified Solution

Answer & Solution

Correct Answer

(B) $2.1$

Step-by-step Solution

Detailed explanation

We know that in the schottky defect, the equal number of anion and cation are missing, and it will decrease the Zeff and therefore changes in density also be observed. Znew = 4-4×0.1100 = 3.9 Now, the new density of the crystal will be…

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.

Same subject

Gas	\(\mathrm{CO}_2\)	Ar	HCHO	\(\mathrm{CH}_4\)
\begin{array}{c}\mathrm{K}_{\mathrm{H}} \\ (\mathrm{k} bar at 298 K) \\ \hline \end{array}	\(1.67\)	\(40.3\)	\(1.83 \times 10^{-5}\)	\(0.413\)

Explore more questions on app

From TS EAMCET

Explore more questions on app

X = x	0	1	2	3	4
P(X = x)	0.4	0.3	0.1	0.1	0.1

Potassium crystallizes in FCC lattice with unit cell length of 0.5 nm. The approximate density ingcm-3, if it contains 0.1% Schottky defects is

Step-by-step Solution

Potassium crystallizes in $FCC$ lattice with unit cell length of $0.5 nm .$ The approximate density $(in {gcm}^{- 3}),$ if it contains $0.1 %$ Schottky defects is