When `10g` of `AI` is used for reduction in each of the following alumino thermic reactions.Which reaction would generate more heat & by how much?
a. `2AI + Cr_(2)O_(3) rarr AI_(2)O_(3) +2Cr`
b. `2AI +Fe_(2)O_(3) rarr AI_(2)O_(3) +2Fe`
Standard heat of formation of `AI_(2)O_(3), Cr_(2)O_(3)`, and `Fe_(2)O_(3)` are `-1676 kJ, -1141 kJ`, and `-822.2 kJ`, respectively.

Explanation

To determine which reaction generates more heat when 10 g of aluminum is used for reduction in the given reactions, we will follow these steps:

### Step 1: Calculate the moles of Aluminum
First, we need to calculate the number of moles of aluminum in 10 g.

\[ \text{Molar mass of Al} = 27 \, \text{g/mol} \]
...