Hi there, everything has been done by you and impressive, but only small mistake i have found at moles OH-
moles = volume in L x molarity
since both have 1.0 M concentration and volume also same = 50.0 mL
so moles [H+] = moles [OH-] = 50.0 mL x 10^-3 L x 1.0 M = 0.05 mol
ΔHrxn = -q / mol
mass of solution = 50 g + 50 g = 100 g (since we assume solution density as 1 g/mL
q = mass of solution in g x specific heat capacity of water x difference in temperature = 100 g x 4.184 J/g.0C x 6.5 0C = 2719.6 J
q = 2719.6 J = 2.7196 kJ since 1 kJ = 1000 J
ΔHrxn = -q / mol = 2719.6 J / 0.05 = 54392 J = 54.392 kJ/mol
ΔHrxn = -54.392 kJ/mol (negative sign due to exothermic reaction)
ΔHtheoretical = [H2O(l)] - [(H+) + (OH-)] = [ -285.8 ] - [0 - 230] = -55.8 kJ/mol
ΔHtheoretical = -55.8 kJ/mol
percent error = (|experimental - theoretical| / theoretical ) x 100% = [(-54.392 -(-55.8) / -55.8] x 100% = -2.52
but we express percent error in magnitude, so
percent error = 2.52%
Hope this helped you!
Thank You So Much!
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