Nicole H. answered 10/24/14
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John,
The first reaction needs to reversed and divided by 2 to generate 1 BrF3 in the final equation. When you divided the equation by 2 and reverse the reaction, the sign of ΔH will be reversed and divided by 2. Therefore the first reaction will have a ΔH = -255.6kJ
The second reaction needs to be reversed to get BrF as reactant in the final equation. When you reverse, the sign of ΔH changes. Therefore, the second reaction will have a ΔH = +93.8kJ
If you had both of these reactions to generate the final balanced chemical equation, the reaction enthalpy will be as follows: ΔH = -255.6kJ + 93.8kJ = -161.8kJ
Hope it helps.