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Calculate the standard enthalpy change for the neutralization of 50 mL of 0.1 M hydrochloric acid with 50 mL of 0.1 M sodium hydroxide at a constant temperature of 25°C, given that the specific heat capacity of the resulting solution is 4.18 J/g°C and its density is 1 g/mL.

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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  and then divide it by the number of moles of the limiting reactant.The balanced chemical equation for the neutralization reaction between hydrochloric acid  HCl  and sodium hydroxide  NaOH  is:HCl aq  + NaOH aq   NaCl aq  + H2O l Since both solutions have the same concentration  0.1 M  and volume  50 mL , they will react in a 1:1 ratio, and neither is a limiting reactant.First, let's find the number of moles of HCl and NaOH:moles = Molarity  Volume  in L moles of HCl = 0.1 M  0.050 L = 0.005 molmoles of NaOH = 0.1 M  0.050 L = 0.005 molNow, let's calculate the heat released during the reaction  q :q = mcTwhere m is the mass of the solution, c is the specific heat capacity, and T is the temperature change.Since the density of the solution is 1 g/mL, the mass of the 100 mL solution is 100 g. The temperature change  T  can be obtained from the experiment, but it is not provided in the problem. Therefore, we will assume that the temperature change is given as T.q =  100 g  4.18 J/gC  T Now, we can calculate the standard enthalpy change  H  by dividing the heat released  q  by the number of moles of the limiting reactant  in this case, either HCl or NaOH, since they have the same number of moles :H = q / molesH =  100 g  4.18 J/gC  T  / 0.005 molH =  418 J/C  T  / 0.005 molH = 83600 J/mol  TSince the temperature change  T  is not provided in the problem, we cannot calculate the exact value of the standard enthalpy change  H . However, we can express it in terms of T:H = 83600 J/mol  T

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