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Q.

Calculate the ratio of lattice energies of $C a C l_{2 (s)}$ and $N a C l_{(s)},$ If the inter-ionic distance in CaCl_2(s) is twice that of NaCl_(s)

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Detailed Solution

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$r_{0} (N a C l) = r$ $r_{0} (C a C l_{2}) = 2 r$

$U_{(N a C l)} α \frac{|Z^{\oplus}| |Z^{⊙}|}{r_{0}} α \frac{1 \times 1}{r} α \frac{1}{r}$

$U_{(C a C l_{2})} α \frac{2 \times 1}{2 r} α \frac{1}{r}$
$\frac{U_{(C a C l_{2})}}{U_{(N a C l)}} = \frac{1}{1} = 1$

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