1.

Thermochemical equations.

Answer»

Solution :A balanced chemical equation together with the value of its `Delta_(R) H` is called a thermochemical equation.
It would be necessary to remember the FOLLOWING conventions regarding thermochemical equations.
(1) The coefficients in a balanced thermochemical equation refer to the number of moles reaction.
(2) The numerical value of `Delta_(r) H^( Theta)` refers to the number of moles of SUBSTANCES specified by an equation. Standard ENTHALPY change `Delta_(r ) H^( Theta)` will have units as `" kj mol"^(-1)`.
e.g., `Fe_(2) O_(3(s)) + 3H_(2(g)) to 2Fe_(2(g)) to 2Fe_((s)) + 3H_(2) O _((l))`
From standard enthalpy of formation,
`Delta_(f) H^( Theta) (H_(2) O) = -285.83` kj/mol
`Delta_(f) H^( Theta) (Fe_(2) O_(3) )=-824.2` kj/mol
`Delta_(f) H^( Theta) (FE) and Delta_(f) H^( Theta) (H_(2) ) =0`
Then, `Delta _(f) H^( Theta) = [3(-285.83)] - [1(-824.2)]`
`= -33.3` kj/mol
If we had balanced the equation differently, for example,
`(1)/(2) Fe_(2) O_(3 (s)) + (3)/(2) H_(2(g)) to Fe_((s)) + (3)/(2) H_(2) O_((l))`
`Delta_(r) H_(2) ^( Theta) = [(3)/(2) (-285.83)]-[(1)/(2) (-824.2)]`
`=(-428.7 + 412.1) "kj mol"^(-1)`
`=-16.2 "kj/mol"=(1)/(2) Delta_(r) Delta H_(1)^( Theta)`
It shows that enthalpy is an extensive quantity.
(3) When a chemical equation is reversed, the value of `Delta_(r) H^( Theta)` is reversed in sign.
`N_(2(g) ) + 3H_(2(g)) to 2NH_(3(g)) , Delta_(r) H^( Theta) =-91.8 "kj/mol"`
`2NH_(3(g)) to N_(2 (g)) + 3H_(2 (g)) , Delta_(r) H^( Theta) = +91.8 "kj/mol"`


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