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Heat of Formation

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Question

Use the following data to calculate the lattice energy of caesium oxide.
Enthalpy of formation of caesium oxide = $- 233 k J m o l^{- 1}$
Enthalpy of sublimation of $C s = + 78 k J m o l^{- 1}$
First ionization energy of $C s = + 375 k J m o l^{- 1}$
Enthalpy of dissociation of $O_{2} (g) = 494 k J m o l^{- 1} o f O_{2} m o l e c u l e s$
First electron affinity of $O = - 141 k J m o l^{- 1} o f O a t o m s$
Second electron affinity of $O = + 845 k J m o l^{- 1} o f O^{1 -} i o n s$

- 2090 kJ/mol

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2090 kJ/mol

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- 2290 kJ/mol

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- 2390 kJ/mol

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Solution

The correct option is A $- 2090 kJ/mol$
Given,
$2 C s (s) \to 2 C s (g); Δ_{S u b} H^{o} = (+ 78 \times 2) k J m o l^{- 1}$
$2 C s (g) \to 2 C s^{+}; I E = (2 \times + 375) k J m o l^{- 1}$
$\frac{1}{2} O_{2} (g) \to O (g); Δ_{O - O} H^{o} = (494 \times \frac{1}{2}) k J m o l^{- 1}$
$O + e^{- 1} \to O^{1 -}; E_{A 1} = - 141 k J m o l^{- 1}$
$O^{1 -} + e^{- 1} \to O^{2 -}; E_{A 2} = + 845 k J m o l^{- 1}$
$2 C s^{+} (g) + O_{2} (g) \to C s_{2} O (s); Δ H^{0} = - 233 k J m o l^{- 1}$
Since it is impossible to determine lattice enthalpies directly by experiment, we use an indirect method where we construct an enthalpy diagram called a Born-Haber Cycle .
Let us now calculate the lattice enthalpy of $C s_{2} O$ (s) by following steps given below :
$Δ_{f} H^{0} = Δ_{S u b} H^{o} + I E + Δ_{O - O} H^{o} + E_{A 1} + E_{A 2} + Δ_{l a t t i c e} H^{o}$
$- 233 = 2 (78) + 2 (375) + \frac{494}{2} - 141 + 845 + Δ_{l a t t i c e} H^{o}$
$Δ_{l a t t i c e} H^{o} = - 2090 k J m o l^{- 1}$
the lattice energy of caesium oxide is $- 2090 k J m o l^{- 1}$

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Q. Use the following data to calculate the lattice energy of caesium oxide.
Enthalpy of formation of caesium oxide

= - 233 kJ/mol

Enthalpy of sublimation of

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First ionization energy of

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Enthalpy of dissociation of

O_{2} (g) = 494 kJ/mol

First electron affinity of

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Second electron affinity of

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Q. Use the following data to calculate the lattice energy of cesium oxide.
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Enthalpy of sublimation of

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First ionization energy of

C s = + 375 k J / m o l

Enthalpy of dissociation of

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First electron affinity of

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Second electron affinity of

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Heat of Formation

Standard XII Chemistry

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