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Liquefaction of Gases and Critical Constants

A solid AB ha...

Question

A solid AB has NaCl type structure with edge length $580.4$ pm. The radius of $A^{+}$ is $100$ pm. What is the radius (in pm) of $B^{-}$ ?

190.20

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540.13

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525.23

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78.12

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Solution

The correct option is A $190.20$
As we know, NaCl has fcc structure and thus,
$r_{c} + r_{a} = \frac{a}{2}$
$100 + r_{a} = \frac{580.4}{2} = 290.2$ pm
$100 + r_{a} = 290.2$ pm
$r_{a} = 290.2 - 100 = 190.2$ pm

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