Calculating NaOH dissociation entalphy problem

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NaOH dissociation is exothermic, indicating that ΔH should be less than zero. The calculation of ΔrH using standard enthalpy changes of formation led to a confusing positive value, suggesting an endothermic reaction. The error was identified in the assumption regarding the sign of ΔfH for Na+(aq), which should be negative rather than positive. Hydration of small ions is typically exothermic, reinforcing the need for accurate values. Clarifying the sign of ΔfH resolved the misunderstanding, aligning the calculation with the expected exothermic nature of the reaction.
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NaOH dissociation is exothermic so ΔH<0

But when I have a reaction
NaOH(s) => Na+(aq) + OH-(aq)

and count ΔrH using standard entalphy change of formation:
ΔfH (NaOH) = -425 kj/mol
ΔfH (OH-(aq)) = -230 kj/mol
ΔfH (Na+(aq)) = +242 kj/mol
Data from Atkins phisical chemistry basics

ΔrH= ΔfH (products) - ΔfH (substrates) = (-230 + 240,12) - (-425) = +435,12 kj/mol
From this calculation it seems that reaction is pretty endothermic and that's surely not true.

Can someone tell me where am I making mistake ?
 
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tester.dla.mmc said:
ΔfH (Na+(aq)) = +242 kj/mol

And not -242 kJ/mol?

http://chemistry.about.com/od/chartstables/a/heatoformions.htm

Generally speaking hydration of small ions is quite exothermic, so this positive value looks suspicious.

BTW: you count fingers, but you calculate amount. Number of fingers - liczba palców, amount of water - ilość wody, palce są przeliczalne, ilość jest nieprzeliczalna.
 
Thanks for so fast response.

ΔfH (Na+(aq)) value in my book was given without sign (probably author just forgot about it) and I assumed that it must be positive since losing electron is usually positive (didn't take into consideration that is't (aq) ion) but now everything makes much more sense.

Thank you
 
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