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    RRM Hrxn& Hesss Law Page 2

    Procedure

    For Part 1, 50.0 mL of distilled water at room temperature will need to be

    measured, its initial temperature recorded, and placed into the calorimeter.

    Then, 50.0 mL of heated water will need to be measured, its initial temperature

    record, and placed into the calorimeter with the room temperature water. With

    the motor on and the magnet spinning, immediately insert the thermometerprobe and collect the data. For Part 2, get 50.0 mL of HCl and NaOH and

    record their initial temperatures. Then add them to the calorimeter, cover the

    calorimeter, insert the temperature probe, and start collecting the data. Do this

    procedure for Reaction 2 and Reaction 3. Then, the heat change and enthalpy

    of reaction are to be calculated. The value of H is to be found two ways,

    through experimental data and using Hesss Law. These values are then

    compared to find the percent error of the experiment.

    Data

    Part 1: Determination of the Heat Capacity of the CalorimeterInitial Temperature

    50.0 mL H2Oroom temperature: 22.4 C

    50.0 mL H2Oheated: 68.8 C

    Mixing Data

    Time (seconds) Temperature (C)

    20 44.1

    40 43.9

    60 43.7

    80 43.5

    100 43.4

    120 43.4

    140 43.4

    160 43.2

    180 43.0

    Calculated Values

    Tmix= 44.04 C Tavg= 45.6 C qcal= +652 J Ccal= 30.1 J/C

    Part 2: Determination of Heats of Reaction

    Reaction 1

    Initial Temperature

    50.0 mL 2.0 M HCl 22.9 C

    50.0 mL 2.0 M NaOH 22.7 CMixing Data

    Time (seconds) Temperature (C)

    20 35.8

    40 35.8

    60 35.8

    80 35.8

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    RRM Hrxn& Hesss Law Page 3

    100 35.7

    120 35.7

    140 35.6

    160 35.6

    180 35.6

    Calculated valuesTmix= 35.87 C qrxn= -6020 J H = -60 kJ/mol

    Reaction 2

    Initial Temperature

    50.0 mL 2.0 M NH4Cl 23.0 C

    50.0 mL 2.0 M NaOH 22.8 C

    Mixing Data

    Time (seconds) Temperature (C)

    20 23.8

    40 23.8

    60 23.880 23.8

    100 23.8

    120 23.8

    140 23.8

    160 23.8

    180 23.8

    Calculated Values

    Tmix= 23.77 C qrxn= -401 J H = -4.0 kJ/mol

    Reaction 3

    Initial Temperature50.0 mL 2.0 M NH3 22.8 C

    50.0 mL 2.0 M HCl 22.4 C

    Mixing Data

    Time (seconds) Temperature (C)

    20 44.1

    40 43.9

    60 43.7

    80 43.5

    100 43.4

    120 43.4140 43.3

    160 43.2

    180 43.0

    Calculated Values

    Tmix= 27.42 C qrxn= -2160 J H = -22 kJ/mol

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    RRM Hrxn& Hesss Law Page 4

    Calculations

    Part 1

    1.

    Tmix= 44.04 C (from graph)

    2.

    3.

    ( )

    4.

    Part 2

    Reaction 1

    1. Tmix= 35.87 C (from graph)

    2.

    [

    ]

    3.

    Reaction 2

    *See calculation answers in the Data section

    Reaction 3

    *See calculation answers in the Data section

    Part 3

    1.

    The net ionic equations of the three chemical equations used throughout

    the experiment

    Equation 1:NaOH(aq)+ HCl(aq)NaCl(aq)+ H2O(l)Na+(aq)+ OH-(aq)+ H+(aq)+ Cl-(aq)Na+(aq)+ Cl-(aq)+ H2O(l)*OH-(aq)+ H+(aq)H2O(l)*Equation 2:NH4Cl(aq)+ NaOH(aq)NH3(aq)+NaCl(aq)+ H2O(l)NH4+(aq)+ Cl-(aq)+ Na+(aq)+ OH-(aq) NH3(aq)+ Na+(aq)+ Cl-(aq) + H2O(l)

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    RRM Hrxn& Hesss Law Page 5

    *NH4+(aq)+ OH-(aq)NH3(aq)+ H2O(l)*Equation 3:NH3(aq)+ HCl(aq)NH4Cl(aq)NH3(aq)+ H+(aq) + Cl-(aq)NH4+(aq)+ Cl-(aq)*NH3(aq)+ H+(aq)

    NH4+(aq)*

    ***Equation 1Equation 2(reversed) = Equation 32.

    Equation 1 H = -60. kJ/mol

    Equation 2 H = -4.0 kJ/mol

    OH-(aq)+ H+(aq)H2O(l) H = -60. kJ/molNH3(aq)+ H2O(l)NH4+(aq)+ OH-(aq) H = +4.0 kJ/molNH3(aq)+ H+(aq)NH4+(aq) H = -56 kJ/mol

    Error Analysis

    | | || There were many errors that could have affected our results in thisexperiment but three main errors were all of the initial temperatures were

    different, the group had to assume the densities of the solutions, and the group

    had to assume that the molarity of all solutions was 2.0 M.

    The first error was that the initial temperature measurements for all

    solutions were not the same. For example, in the first reaction of Part 2, the initial

    temperature of hydrochloric acid was 22.9 C and the initial temperature of

    sodium hydroxide was 22.7 C. In order to find the initial temperature, the

    average of these two numbers had to be taken, which could have caused the

    calculations to be slightly higher or slightly lower than what they should have

    been. However, this error would have a negligible effect on the data since

    there is not a large difference between the numbers.The second error that occurred in the experiment was that the group had

    to assume the densities of the solutions. In the calculation selection of the lab

    handout, it stated to assume the density of the solutions is 1.03 g/mL. Instead of

    assuming this value, the group could have calculated it to have a more

    accurate answer. Like the error before, it would have a small effect on the data

    that was produced.

    The third error that occurred in the experiment was that the group

    had to assume that the molarity of all of the solutions were 2.0 M.

    All of these solutions were student prepared and could have been

    made improperly since they were the first solutions the class made.Mixing solutions that are not close to 2.0 M would have reduced the

    overall molarity of the mixed solutions. If the solutions molarity was

    less than 2.0 M, then it would increase the final answer, but if the

    solutions molarity was greater than 2.0 M, then the final answer

    would have decreased. This error would have been the biggest

    concern during the lab since it had the largest effect on the data.

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    RRM Hrxn& Hesss Law Page 6

    Conclusion

    The purpose of this experiment was not met because the group wasunable to verify Hesss Law. From the calculations, H3 was found to be -22

    kJ/mol, but when Hesss Law was used, H3 was found to be -56 kJ/mol. The

    percent error calculated from these values ended up being -61%. Since the

    calculated answers were not nearly as close as they should have been, thegroup was unable to verify Hesss Law.

    Questions

    1.

    The direct method worked better to find H3 than the indirect method

    because in order to use Hesss Law, the data had to be nearly error free.

    If the group does have an error in the calculations, than the Hesss Law

    answer will not match the answer the group calculated. The Hesss Law

    answer had a -61% error compared to the calculated answer. Therefore,

    the direct method worked better than the indirect method.

    2.

    Hesss Law states that if a reaction is carried out in a number of steps, H

    for the overall reaction is equal to the sum of the

    Hs from eachindividual step.3.

    H means the heat or enthalpy change for a chemical reaction. This

    energy change is equal to the amount of heat transferred, at constant

    pressure, in the reaction. This change represents the difference in

    enthalpy of the products and the reactants and is independent of the

    steps in going from reactants to products.

    4.

    The true initial temperature is found by using a modified linear fit because

    when excluding any points that are skewed, it is giving the results a more

    accurate reading. The first couple points that were skewed are due to

    incomplete mixing and lack of equilibrium with the thermometer.

    5.

    All of the solutions did not have the same initial temperature becausethey were not contained in the same area of the room. These areas

    could have a slightly different temperature causing the different initial

    temperatures. Also, transfer of heat from holding the graduated cylinder

    could have increased the initial temperature, and depending on how

    long the graduated cylinder was held, could have determined how high

    the initial temperature rose.

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    RRM Hrxn& Hesss Law Page 7

    Calculations:

    Part 15. Tmix= 44.5 C (from graph)

    6. 7. ( )

    8.

    Part 2

    Reaction 14. Tmix= 36.82 C (from graph)

    5.

    [

    ]

    6. Reaction 2

    *See calculation answers in the Data sectionReaction 3

    *See calculation answers in the Data section

    Part 33. The net ionic equations of the three chemical equations used throughout the experiment

    Equation 1:

    NaOH(aq)+ HCl(aq)NaCl(aq)+ H2O(l)Na

    +(aq)+ OH

    -(aq)+ H

    +(aq)+ Cl

    -(aq)Na+(aq)+ Cl-(aq)+ H2O(l)

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    RRM Hrxn& Hesss Law Page 8

    *OH-(aq)+ H

    +(aq)H2O(l)*

    Equation 2:

    NH4Cl(aq)+ NaOH(aq)NH3(aq)+NaCl(aq)+ H2O(l)NH4

    +(aq)+ Cl

    -(aq)+ Na

    +(aq)+ OH

    -(aq) NH3(aq)+ Na+(aq)+ Cl-(aq) + H2O(l)

    *NH4+

    (aq)+ OH-(aq)

    NH3(aq)+ H2O(l)*

    Equation 3:NH3(aq)+ HCl(aq)NH4Cl(aq)NH3(aq)+ H

    +(aq) + Cl

    -(aq)NH4+(aq)+ Cl-(aq)

    *NH3(aq)+ H+

    (aq)NH4+(aq)****Equation 1Equation 2(reversed) = Equation 3

    4. Equation 1 H = -60. kJ/molEquation 2 H = -4.0 kJ/mol

    OH-(aq)+ H

    +(aq)H2O(l) H = -60. kJ/mol

    NH3(aq)+ H2O(l)NH4+(aq)+ OH-(aq)H = +4.0 kJ/molNH3(aq)+ H

    +(aq)NH4+(aq) H = -56 kJ/mol