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The enthalpy of solution, of sodium and ...

The enthalpy of solution, of sodium and sodium oxide in large volume of water , are -184 and -238 kJ/mol, respectively . If the enthalpy of formation of water is -286 kJ/ mol, then what is the enthalpy of formation of sodium oxide ? All the enthalpies are at 298 K and 1 bar pressure. [Given: REaction involved are
`2Na(s)+2H_(2)O(l) to 2NaOH (aq)+H_(2)(g)`
`Na_(2)O(s)+H_(2)O)(l) to 2NaOH (aq) `]

A

`+54 kJ//mol `

B

`-130 kJ//mol`

C

`-416kJ//mol`

D

`+156kJ//mol`

Text Solution

Verified by Experts

( C)
Give thermochemical equations are :
`(a) Na(s)+H_(2)O(l) to NaOH (aq)+(1)/(2)H_(2)(g),DeltaH_(1)=-184 kJ`
`(b) Na_(2)O(s)+H_(2)O)(l) to 2NaOH (aq) : DeltaH_(2)=-238kJ`
`(c )H_(2)(g)+(1)/(2)O_(2)(g) to H_(2)O (l) , DeltaH_(3)=-286 kJ`
The required thermodchemical equation is :
`2Na(s)+(1)/(2)O_(2)(g) to Na_(2)O(s) ,DeltaH=?`
From `2xx(a)+( c)-(b), " "DeltaH=2xx(-184)+(-286)-(-238)=-416 kJ`
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