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HBr is a strong acid and KOH is a strong base, so reaction between these two is acid-base neutralization reaction. Hence heat of reaction is also called as enthalpy of neutralization ΔH
ΔH = qrxn / n, where ΔH = enthalpy of reaction per mol, qrxn = total heat of reaction, n = moles reacted
qrxn = m x Cs x ΔT,
where m = mass of solution = 55 mL + 77 mL = 132 mL ~ 132 g (since water density 1g/mL)
Cs = specific heat capacity of water = 4.184 J/g.0C
ΔT = Tfinal - Tinitial = 22.88 - 19.71 = 3.17 0C
qrxn = 132 g x 4.184 J/g.0C x 3.17 0C = 1750.75296 J = 1.75 kJ
now we will calculate actual moles reacted
moles HBr = 55 mL x 10-3 L x 0.570 M = 0.03135 mol
moles KOH = 77 mL x 10-3 L x 0.570 M = 0.04389 mol
but 1 mol HBr reacts with 1 mol KOH only, so HBr is limiting reactant
ΔH = qrxn / n = 1.75 kJ / 0.03135 mol = 55.8 kJ/mol (this is almost near to standard value)
Answer: Heat of reaction = 55.8 kJ/mol
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