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Calculate the standard enthalpy change for the reaction between 50 ml of 0.2 M HCl (aq) and 50 ml of 0.2 M NaOH (aq) at 25°C, given that the specific heat capacity of the combined solution is 4.18 J/g °C and the density of the combined solution is 1.0 g/mL.

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To calculate the standard enthalpy change for the reaction between HCl and NaOH, we first need to determine the heat released during the reaction  q  and then divide it by the moles of the limiting reactant.The reaction between HCl and NaOH is an exothermic neutralization reaction:HCl  aq  + NaOH  aq   NaCl  aq  + H2O  l First, let's find the limiting reactant. Since both solutions have the same volume  50 mL  and concentration  0.2 M , they will react in a 1:1 ratio, and there is no limiting reactant.Next, let's find the total mass of the combined solution:Mass = Volume  DensityMass =  50 mL + 50 mL   1.0 g/mLMass = 100 gNow, we need to find the change in temperature  T  during the reaction. Since the reaction is exothermic, the temperature of the solution will increase. Let's assume the final temperature of the solution is Tf and the initial temperature is 25C.We can use the heat released  q  formula:q = mass  specific heat capacity  TRearranging the formula to find T:T = q /  mass  specific heat capacity Since we don't have the value for q, we can use the heat of neutralization for a strong acid and strong base reaction, which is approximately -57.32 kJ/mol.Now, let's find the moles of HCl and NaOH:Moles = Volume  ConcentrationMoles = 50 mL  0.2 MMoles = 0.01 L  0.2 mol/LMoles = 0.002 molSince the reaction is 1:1, there are 0.002 mol of both HCl and NaOH.Now, let's find the heat released  q  during the reaction:q = moles  heat of neutralizationq = 0.002 mol  -57.32 kJ/molq = -0.11464 kJNow, we can find the change in temperature  T :T = q /  mass  specific heat capacity T = -0.11464 kJ /  100 g  4.18 J/g C T = -0.11464  10^3 J /  100  4.18 T  -0.274 CSince the reaction is exothermic, the final temperature  Tf  will be:Tf = 25C +  -0.274C   24.726CFinally, we can calculate the standard enthalpy change  H  for the reaction:H = q / molesH = -0.11464 kJ / 0.002 molH  -57.32 kJ/molThe standard enthalpy change for the reaction between 50 mL of 0.2 M HCl and 50 mL of 0.2 M NaOH at 25C is approximately -57.32 kJ/mol.

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