An intimate mixture of ferric oxide and aluminium is used as solid fuel in rockets. Calculate the fuel value per `cm^(3)` of the mixture.
Heats of formation and densities are as follows:
`H_(f(AI_(2)O_(3)))^(Theta)=-399kcal mol^(-1),H_(f(Fe_(2)O_(3)))^(Theta)=-199kcal mol^(-1)`
Density of `Fe_(2)O_(3)=4.0 g cm^(-3)`, Density of `Al = 2.0 g cm^(-3)`

Explanation

To calculate the fuel value per cm³ of the intimate mixture of ferric oxide (Fe₂O₃) and aluminum (Al), we will follow these steps:

### Step 1: Write the balanced chemical reaction
The reaction between aluminum and ferric oxide can be written as:
\[ 2 \text{Al} + \text{Fe}_2\text{O}_3 \rightarrow \text{Al}_2\text{O}_3 + 2 \text{Fe} \]

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