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The molar heat of formation of NH(4)NO(3...

The molar heat of formation of `NH_(4)NO_(3)(s)` is `-367.5kJ ` and those of `N_(2)O(g)` and `H_(2)O(l)` are `+81.46kJ and -285.78kJ` respectively at `25^(@)C` and 1 atmospheric pressure. Calculate the `DeltaH` and `DeltaU` for the reaction,
`NH_(4)NO_(3)(s)toN_(2)O(g)+2H_(2)O(l)`

Text Solution

Verified by Experts

The correct Answer is:
`DeltaH = - 122. 56 kJ mol^(-1) , DeltaU = - 125. 04kJ mol^(-1)`
`NH_(4)NO_(3)(s) rarrN_(2)O(g) + 2H_(2)O(l), DeltaH _("reaction") = SigmaDelta_(f) H (` Products `) -SigmaDelta_(f) H (` Reactants)
`Deltan_(g) =n_(p)- n_(r) = 1-0 = 1`
`DeltaU = DeltaH - Delta n_(g) RT`
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