Chemistry - Solid State Question with Solution | TestHub

ChemistrySolid StatePacking in lonic SolidsMedium2 minPYQ_2020

ChemistryMediummultiple choice

The cubic unit cell structure of a compound containing cation $M$ and anion $X$ is shown below. When compared to the anion, the cation has smaller ionic radius. Choose the correct statement(s).

Options:(select one or more)

Answer:

A, C

Solution:

$M_{2 \times \frac{1}{2}} X_{4 \times \frac{1}{4}} = MX$

$d^{2} = {(\frac{a}{\sqrt{2}})}^{2} + {(\frac{a}{2})}^{2}$

$d^{2} = \frac{a^{2}}{2} + \frac{a^{2}}{4} = \frac{3 a^{2}}{4}$

$\frac{d^{2}}{a^{2}} = \frac{3}{4}$

$\frac{d}{a} = \frac{\sqrt{3}}{2} = \frac{1.732}{2} = 0.866$

$\frac{r_{+}}{r_{-}} = 0.732$

Stream:JEE_ADVSubject:ChemistryTopic:Solid StateSubtopic:Packing in lonic Solids

⏱ 2mℹ️ Source: PYQ_2020

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