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Estimate the lattice energy of CaCO3 if ...

Estimate the lattice energy of `CaCO_3` if `r_(ca^2+) =114 pm and `r_(CO_3^(2-)) =185 p m`.

Text Solution

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Applying Kapustinskii equation
`U_(L) = 120250 ((v*|z_(+)|*|z_(-) |)/(d)) (1 - (34.5)/(d))`
Where v = No. of ions per formula unit
` Z_(+), Z_(-) = ` charge on the cation and anion respectively
`d = r_(+) + r_(-)`, i.e., sum of ionic radii in pm
`U_(L)` = lattice energy in kJ `mol^(-1)`
Here, ` v = 2 , z_(+) = + 2, z_(-) = - 2, z_(-) = 2 , i.e., |z_(+)| = 2 , |z_(-)| = 2 `
` d = r_(+) + r_(-) = 144 + 185 = 299 pm`
`U_(L) = 120250 ((2xx2xx2)/(299))(1 - (34.5)/(299)) = 2885 " kJ mol "^(-1)`.
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