When the temperature-time data graph was reviewed, it was found that an error had been made in determining ΔT. Instead of 4.76 °C, ΔT was actually 4.70 °C. Based on this change only, calculate the correct ΔH neutralization for the reaction of NH3, and acetic acid.

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When the temperature-time data graph was reviewed, it was found that an error had been made in determining ΔT. Instead of 4.76 °C, ΔT was actually 4.70 °C. Based on this change only, calculate the correct ΔH neutralization for the reaction of NH3, and acetic acid.
## Educational Content: Calculation of Enthalpy Change in a Neutralization Reaction

### Problem Overview

When a neutralization reaction was carried out using 1000 mL of 0.7890 M NH₃, water, and 1000 mL of 0.7940 M acetic acid, the change in temperature (ΔT) was found to be 4.71°C. The specific heat of the reaction mixture was 4.104 J/g°C, and its density was 1.08 g/mL. The calorimeter constant was 3.336 J/K.

### Detailed Calculation

1. **Calculate ΔH (Enthalpy Change) for the Reaction of NH₃ and Acetic Acid**

   Given Data:
   - Volume of NH₃ solution = 1000 mL
   - Molarity of NH₃ = 0.7890 M
   - Volume of acetic acid solution = 1000 mL
   - Molarity of acetic acid = 0.7940 M
   - ΔT = 4.71°C
   - Specific heat (c) = 4.104 J/g°C
   - Density = 1.08 g/mL
   - Calorimeter constant (C_cal) = 3.336 J/K

   Steps:
   - Calculate the heat absorbed by the calorimeter:
     \[
     \text{Heat absorbed} = C_{\text{cal}} \times \Delta T = 3.336 \, \text{J/K} \times 4.71 \, \text{K} = 15.5 \, \text{J}
     \]

   - Determine the limiting reagent (not explicitly stated but deduced from calculation comparisons):

     \[
     \text{Mols of NH}_3 = 0.7890 \, \text{mol/L} \times 1 \, \text{L} = 0.789 \, \text{mol}
     \]

     \[
     \text{Mols of CH}_3\text{COOH} = 0.7940 \, \text{mol/L} \times 1 \, \text{L} = 0.794 \, \text{mol}
     \]

   - Calculate ΔH using the heat absorbed and the number of moles of the limiting reagent
Transcribed Image Text:## Educational Content: Calculation of Enthalpy Change in a Neutralization Reaction ### Problem Overview When a neutralization reaction was carried out using 1000 mL of 0.7890 M NH₃, water, and 1000 mL of 0.7940 M acetic acid, the change in temperature (ΔT) was found to be 4.71°C. The specific heat of the reaction mixture was 4.104 J/g°C, and its density was 1.08 g/mL. The calorimeter constant was 3.336 J/K. ### Detailed Calculation 1. **Calculate ΔH (Enthalpy Change) for the Reaction of NH₃ and Acetic Acid** Given Data: - Volume of NH₃ solution = 1000 mL - Molarity of NH₃ = 0.7890 M - Volume of acetic acid solution = 1000 mL - Molarity of acetic acid = 0.7940 M - ΔT = 4.71°C - Specific heat (c) = 4.104 J/g°C - Density = 1.08 g/mL - Calorimeter constant (C_cal) = 3.336 J/K Steps: - Calculate the heat absorbed by the calorimeter: \[ \text{Heat absorbed} = C_{\text{cal}} \times \Delta T = 3.336 \, \text{J/K} \times 4.71 \, \text{K} = 15.5 \, \text{J} \] - Determine the limiting reagent (not explicitly stated but deduced from calculation comparisons): \[ \text{Mols of NH}_3 = 0.7890 \, \text{mol/L} \times 1 \, \text{L} = 0.789 \, \text{mol} \] \[ \text{Mols of CH}_3\text{COOH} = 0.7940 \, \text{mol/L} \times 1 \, \text{L} = 0.794 \, \text{mol} \] - Calculate ΔH using the heat absorbed and the number of moles of the limiting reagent
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