Calculating Heat Released in Ba(s) + O2(g) → 2BaO(s) Reaction

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The enthalpy change (H°) for the reaction 2Ba(s) + O2(g) → 2BaO(s) is -1107 kJ, indicating that this amount of heat is released when 2 moles of barium react with oxygen. When 5.75 g of Ba(s) is completely consumed, it corresponds to 0.0412 moles of Ba. The correct calculation for heat released is based on the stoichiometry of the reaction, leading to a release of 23.2 kJ, not 46.4 kJ, due to the relationship between the moles of Ba and the overall reaction enthalpy. The limiting reagent concept is crucial in determining the amount of heat released.

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geffman1
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The value of H° for the reaction below is -1107 kJ:
2Ba(s) + O2(g) --> 2BaO(s)

How many kJ of heat are released when 5.75 g of Ba(s) reacts completely with oxygen fo form BaO(s)?


i worked out the moles of Ba which was 0.0412 then times by -1107 whcih is 46.4 however the answer is 23.2, i don't understand why becasue the is a 2 to 2 relationship between Ba and BaO? any help would be good




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The Attempt at a Solution

 
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The specific enthalpy of reaction would be -1107 kJ per 2 moles of Ba consumed (or per mole of oxygen consumed or per 2 moles of BaO produced). This would give the 23.2 kJ of heat released.
 
thanks, but how do u no you have to use the coeffecient of the oxygen, when the Ba is limiting?
 
Value is given not per mole of Ba, but per so called 'mole of reaction'.

That's not always the case.
 

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