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Q.

Dissolution of ionic compound ‘AB’ in water is exothermic to an extent of $- 54 K J m o l^{- 1}$ . Lattice enthalpy of ‘AB’ is $810 K J m o l^{- 1}$ . What is hydration enthalpy of $B^{-}$ if the ratio of Hydration enthalpy of $A^{+} to B^{-}$ is 7 : 5

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a

$- 360 K J m o l^{- 1}$

b

$- 504 K J m o l^{- 1}$

c

$- 441 K J m o l^{- 1}$

d

$- 315 K J m o l^{- 1}$

answer is D.

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Detailed Solution

Question Image

$Δ H_{L a c t i c e} + Δ H_{H y d r a t i o n} = Δ H$

$810 + 7 x + 5 x = - 54$

$12 x = - 54 - 810 = \frac{- 864}{12} = - 72$

$B^{-} = 5 x = - 72 \times 5 = - 360$

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