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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 `-367.54kJ` and those of `N_(2)O_((g)), H_(2)O_((l))` are `81.46` and `-285.8kJ` respectively at `25^(@)C` and 1 atmosphere pressure. Calculate `DeltaH` and `DeltaU` of the reaction `NH_(4)NO_(3(s))rarr N_(2)O_((g))+2H_(2)O_((l))`.

Text Solution

Verified by Experts

`NH_(4)NO_(3(s))rarr N_(2)O_((g))+2H_(2)O_((l)), DeltaH=?`
`DeltaH_(Reaction)=DeltaH_(Products)-DeltaH_(Rea c t a nts)`
`=DeltaH_(N_(2)O)+DeltaH_(H_(2)O)xx2-DeltaH_(NH_(4)NO_(3))`
Given, `DeltaH_(N_(2)O)=+81.46kJ` ltBRgt `DeltaH_(H_(2)O)=-285.8kJ`
`DeltaH_(NH_(4)NO_(3))=-367.54kJ`
`:. DeltaH_(Reaction)=+81.46+2(-285.8)-(-367.54)`
`DeltaH=-122.6kJ`
Further
`DeltaH=DeltaU+DeltanRT `
`(Deltan=1-0=1,R=8.314J,T=298K)`
`:. -122.6xx10^(3)=DeltaU+1xx8.314xx298`
`:. DeltaU=-125077j o u l e=-125.077kJ`
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The molar heat of formation of NH_(4)NO_(3)(s) is -367.54 kJ and those of N_(2)O(g) and H_(2)O(l) are + 81.46kJ and - 285.78 kJ respectively at 25^(@)C and 1.0 atmospheric pressure. Calculate DeltaH and Delta U for the reaction NH_(4)NO_(3)(s) rarr N_(2)O(g) + 2H_(2)O(l)

The molar heat of formation of NH_(4)NO_(3)(g) is -367.54kJ and those of N_(2)O(g) and H_(2)O(l) are +81.46kJ and -285.78 kJ respectively at 25^(@)C and 1.0 atmospheric pressure. Calculate Delta H and DeltaU for the reaction.

Knowledge Check

  • The heat of formation of H_(2)O_((l)) is -286.2 kJ. The heat of formation of H_(2)O_((g)) is likely to be

    A
    `-286.2 kJ`
    B
    `-290.78 kJ`
    C
    `-335.2 kJ`
    D
    `-242.76 kJ`

  • The equilibrium constant for the reaction NH_(4)NO_(2)(s)hArr N_(2)(g)+2H_(2)O(g) , is given by

    A
    `([NH_(4)NO_(2)])/([N_(2)][H_(2)O]^(2))`
    B
    `[N_(2)][H_(2)O]^(2)`
    C
    `([N_(2)][H_(2)O])/([NH_(4)NO_(2)])`
    D
    `([N_(2)][2H_(2)O]^(2))/([NH_(4)NO_(2)]^(2))`

  • The molar heat ofreaction of NH_(4)NO_(3(s)) rarr N_(2)O_((g)) + 2H_(2)O_((l))," is "-122.55 KJ" at "25^(@)C and 1.0 atmospheric pressure. Delta U for the reaction :

    A
    -250.037 KJ
    B
    -125.037 KJ
    C
    -77.014 KJ
    D
    127.037 KJ

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