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Calculate the standard internal energy c...

Calculate the standard internal energy change for the following reactions at `25^(@)C`:
`2H_(2)O_(2)(l) rarr 2H_(2)O(l) +O_(2)(g)`
`Delta_(f)H^(Theta) at 25^(@)C` for `H_(2)O_(2)(l) =- 188 kJ mol^(-1) H_(2)O(l) =- 286 kJ mol^(-1)`

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`DeltaH^(Theta) = sum DeltaH^(Theta) ("product") - DeltaH^(Theta) ("reactants")`
`=2 (-280) +0 -2(-188)`
`=- 572 + 376 =- 196 kJ`
`Delta n(g) = 1 - 0 = 1`
`DeltaH^(Theta) = DeltaU^(Theta) + Deltan(g) RT :. DeltaU^(Theta) = DeltaH^(Theta) - DeltanRT`
`=- 196 -(1xx 8.314 xx 10^(-3) xx 298)`
`=198.4775 kJ`
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