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Examples of Ionic Compounds

The ionic rad...

Question

The ionic radii of Cs and Cl are $0.165$ nm and $0.181$ nm respectively. Their atomic weights are $133$ amu and $35.5$ amu respectively. Then,

the lattice parameter (a) is

0.4

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the lattice parameter can not be determined from this data

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the density of CsCl is

4.37 \times 10^{3}

kg m

^{3}

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CsCl has a fcc structure on the basis of the given information

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Solution

The correct options are
A the lattice parameter (a) is $0.4$ nm
C the density of CsCl is $4.37 \times 10^{3}$ kg m $^{3}$
For CsCl type structures, $2 (r_{+} + r_{-}) = a \sqrt{3}$
So, $a =$ $\frac{2}{\sqrt{3}} (0.165 + 0.181) = 0.4$ mm
Density $= \frac{Z \times M}{N_{A} \times a^{3}} = \frac{1 \times (133 + 35.5)}{6.02 \times 10^{23} \times {(4 \times 10^{- 10})}^{3}}$ $= 4.37 \times$ $10^{3}$ kg m $^{3}$ (by converting units)

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The ionic radii of Cs and Cl are 0.165 nm and 0.181 nm respectively. Their atomic weights are 133 amu and 35.5 amu respectively. Then,

The correct options are A the lattice parameter (a) is 0.4 nm C the density of CsCl is 4.37×103 kg m3For CsCl type structures, 2(r++r−)=a√3So, a= 2√3(0.165+0.181)=0.4 mmDensity =Z×MNA×a3=1×(133+35.5)6.02×1023×(4×10−10)3 =4.37× 103 kg m3 (by converting units)

The ionic radii of Cs and Cl are $0.165$ nm and $0.181$ nm respectively. Their atomic weights are $133$ amu and $35.5$ amu respectively. Then,