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Fe (2 ) O (3 (s)) + (3)/(2) C to (3)/(2)...

`Fe _(2 ) O _(3 (s)) + (3)/(2) C to (3)/(2) CO _(2 (g)) + 2 Fe _((s)) , Delta H ^(@) =+ 234.1kJ`
`C _((s)) + O _(2(g)) to CO _(2 (g)) , Delta H ^(@)=- 393.5 kJ`
Use these equations and AH° values to calculate `DeltaH^(@)` for this reaction: `4Fe (s) + 3 O _(2) (g) to 2Fe _(2) O _(3) (s)`

A

`-1648.7 kJ`

B

`-1255.3 kJ`

C

`-1021.2 kJ`

D

`-129.4 kJ`

Text Solution

Verified by Experts

`2 F (s) + (3)/(2) CO _(2) (g) to Fe _(2) O _(3) (s) + (3)/(2) C (s) (Delta H ^(@) =-234. 1 kJ ) " "...(i)`
`C (s) + O _(2) (g) to CO _(2) (g) " " (Delta H ^(@) =- 393.5 kJ) " "...(ii)`
Multiplying eq. (i) by 2 and eq. (ii) by 3 and on adding both equations, we get :
`4 Fe (s) + 3 O _(2) (g) to 2 Fe _(2) O _(3) (s) , Delta H ^(@) = ( - 234. 1 xx 2) + (- 3 xx 392.5) =- 1648. 7 kJ`
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