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The lattice energy of NaCl is +788 kJ mo...

The lattice energy of NaCl is +788 kJ `mol^(-1).` The enthalpies of hydration of `Na^(+)`(g) and `Cl^(-)` (g) ions are `-406 kJ mol^(-1)and-378 kJ mol^(-1)` respectively. The enthalpy of solution of NaCl(s) in water is

A

`786 kJ mol ^(-1)`

B

`4 kJ mol ^(-1)`

C

`- 4 kJ mol ^(-1)`

D

`- 792 kJ mol ^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C

`{:(NaCl _((s)) to Na _((g) ) ^(+) + Cl _((g)) ^(-), Delta H =+ 788 kJ ("Lattice energy")),(Na _((g)) ^(+) H _(20 O _((l)) to Na _((aq)) ^(+)), Delta H =- 406 kJ ("Hydration")), (Cl _((g)) ^(-) + H _(2) O _((l)) to Cl _((aq)) ^(-) , Delta H =- 378kJ("Hydration")):}`
The net reaction of dissocultion of `Na Cl (s)` is `Na Cl _((s)) + 2 H _(2) O _((l)) to Na _((aq)) ^(+) + Cl _((aq)) ^(-)`
`Delta _(sol) H = 788 - ( 406 + 378) =- 4 kJ mol ^(-1)`
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Knowledge Check

  • The lattice energy of NaCl is 788 kJ mol^(-1) . This means that 788 kJ of energy is required

    A
    to separate one mole of solid NaCl into one mole of Na (9) and one mole of CI (g) to infinite distance
    B
    to separate one mole of solid NaCl into one mole of `Na^(+) (g)` and one mole of` Cl^(-)` (g) to infinite distance
    C
    to convert one mole of solid NaCl into one mole of gaseous Naci
    D
    to convert one mole of gaseous NaCl into one mole of solid NaCl
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