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Calculate the standard enthalpy change for the neutralization of 25 mL of 0.10 M hydrochloric acid with 25 mL of 0.10 M sodium hydroxide. Assume the specific heat capacity of the solution to be 4.18 J/(g*K) and the density of the solution to be 1.00 g/mL. The temperature change observed during the reaction was 4.5°C.

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To calculate the standard enthalpy change for the neutralization reaction, we first need to determine the heat released during the reaction  q  using the formula:q = mcTwhere m is the mass of the solution, c is the specific heat capacity, and T is the temperature change.The total volume of the solution is 25 mL of HCl + 25 mL of NaOH = 50 mL. Since the density of the solution is 1.00 g/mL, the mass of the solution is:m = 50 mL * 1.00 g/mL = 50 gNow we can calculate the heat released  q :q =  50 g  4.18 J/ g*K   4.5C  = 940.5 JNext, we need to determine the moles of HCl and NaOH that reacted. Since both solutions have the same concentration  0.10 M  and volume  25 mL , they will react in a 1:1 ratio. To find the moles of HCl and NaOH, we use the formula:moles = concentration * volume  in liters moles of HCl = moles of NaOH =  0.10 mol/L  0.025 L  = 0.0025 molNow we can calculate the standard enthalpy change  H  for the reaction by dividing the heat released  q  by the moles of HCl  or NaOH  that reacted:H = q / moles = 940.5 J / 0.0025 mol = 376200 J/molSince the standard unit for enthalpy change is kJ/mol, we can convert the value:H = 376.2 kJ/molTherefore, the standard enthalpy change for the neutralization of 25 mL of 0.10 M hydrochloric acid with 25 mL of 0.10 M sodium hydroxide is -376.2 kJ/mol  the negative sign indicates that the reaction is exothermic, meaning it releases heat .

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