When `10g` of `AI` is used for reduction in each of the following alumino thermic reactions. Which reaction would generate more heat and by hwo 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.

When `10g` of `AI` is used for reduction in each of the following alum

1.	When `10g` of `AI` is used for reduction in each of the following alumino thermic reactions. Which reaction would generate more heat and by hwo 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.
Answer» Given, `{:(2AI+(3)/(2)O_(2)rarrAI_(2)O_(3),,,DeltaH_(1)=-1676kJ..(i)),(2Cr+(3)/(2)O_(2)rarrCr_(2)O_(3),,,DeltaH_(2)=-1141kJ..(ii)),(2Fe+(3)/(2)O_(2)rarrFe_(2)O_(3),,,DeltaH_(3)=-822.2 kJ..(iii)):}` To calculate ltbr. `DeltaH_(a) = ?` For `2AI+ Cr_(2)O_(3)rarr AI_(2)O_(3) +2Cr ...(iv)` Operate: `DeltaH_(a) = DeltaH_(1)-DeltaH_(2)` `=- 1676 -(-1141) =- 535 kJ` `DeltaH_(b) = ?` For `2AI +Fe_(2)O_(3) rarr AI_(2)O_(3) +2Fe ......(v)` Operate: `DeltaH_(b) = DeltaH_(1) -DeltaH_(3)` `=- 1676 -(-822.2) =- 853.8 kJ` For reaction (iv) `2 xx 27 g` of AI produces` = 535 kJ` of heat `10g` of AI produces `=(535xx10)/(2xx27) = 99.07 kJ` For reaction (v) `2 xx 27g` of AI produces `= 853.8 kJ` of heat `10g` of AI produces `= (853.8xx10)/(54) = 158.11kJ` Reaction (ii) produces more heat `= 158.11 -99.07` `= 59.04 kJ`

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