Determine the heat of the following reaction:
`FeO(s)+Fe_(2)O_(3)(s)toFe_(3)O_(4)(s)`
Given informations:
`2Fe(s)+O_(2)(g)to2FeO(s)," "DeltaH^(@)=-544kJ`
`4Fe(s)+3O_(2)(g)to2Fe_(2)O_(3)(s)," "DeltaH^(@)=-1648.4kJ`
`Fe_(3)O_(4)(s)to3Fe(s)+2O_(2)(g),DeltaH^(@)=+1118.4kJ`

Options

A. `-1074kJ`
B. `-22.2kJ`
C. `+249.8kJ`
D. `+2214.6kJ`b

Explanation

`2FeO(s)to2Fe(s)+O_(2)(g)," "DeltaH^(@)=+544kJ`
`2Fe_(2)O_(3)(s)to4Fe(s)+3O_(2)(g),DeltaH^(@)=+1648.4kJ`
`underline(6Fe(s)+4O_(2)(g)to2Fe_(2)O_(4)(s)," "DeltaH^(@)=-2xx1118.4kJ)`
On adding, `underline(2FeO(s)+2Fe_(2)O_(3)(s)to2Fe_(3)O_(4)(s)," "DeltaH^(@)=44.4kJ)`
`thereforeFeO(s)+Fe_(2)O_(3)(s)toFe_(3)O_(4)(s)," "DeltaH^(@)=-22.2kJ)`.