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Given that 3C(s)+2Fe(2)O(3)(s)rarr4Fe(...

Given that
`3C(s)+2Fe_(2)O_(3)(s)rarr4Fe(s)+3CO_(2)(g),`
`DeltaH^(@)=-93657 kcal` at `25^(@)C`
`3C(s)+3O_(2)(g)rarr3CO_(2)(g),`
`DeltaH^(@)=-94050 kcal` at `25^(@)C`
The value of `DeltaH^(@)_(f)(Fe_(2)O_(3))` is

A

`16.750Kcal`

B

`-16.750Kcal`

C

`-196.5Kcal`

D

`-393Kcal`

Text Solution

Verified by Experts

The correct Answer is:
C
`2Fe(s)+3//2O_(2)(g)rarrFe_(2)O_(3)(g),DeltaH=`?
Given, `3C(s)+2Fe_(2)O_(3)(s)rarr4Fe(s)+3CO_(2)(g),`
`DeltaH=-93657Kcal`
And `3C(s)+3O_(2)(g)rarr3CO_(2)(g),`
`DeltaH=-94050Kcal`
Equation (ii) - Equation (i), we get
`4Fe+3O_(2)rarr2Fe_(2)O_(3)(s),DeltaH=-393Kcal`
`:. 2Fe+3//2O_(2)rarrFe_(2)O_(3)(s),`
`DeltaH=-196.5Kcal` at `25^(@)C`
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