Chemistry
Chemistry
10th Edition
ISBN: 9781305957404
Author: Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher: Cengage Learning
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Question

A student performed titrations of samples of borax at different temperatures to determine the KSP at each temperature. After graphing the 1/T (K-1 ) versus ln(KSP), the student obtained the trend line and R2 value. Use this information to answer the following questions:

a. What is deltaH? b. Is this dissolution endothermic or exothermic? c. What is deltaS? d. Determine deltaG at 298K.

## Educational Content: Thermodynamics of Borax ### Experiment Overview A student performed titrations of samples of borax at different temperatures to determine the solubility product constant (Ksp) at each temperature. The student graphed 1/T (K^-1) versus ln(Ksp) and obtained a trend line and R² value. ### Graph Description The graph is titled "Thermodynamics of Borax." The x-axis represents 1/T (K^-1), ranging from approximately 0.00295 to 0.00325. The y-axis represents ln(Ksp), ranging from -3.5 to 0. - Data points are plotted, showing a negative linear correlation. - The trend line equation is y = -14589x + 43.502. - The R² value is 0.9466, indicating a strong correlation between the variables. ### Questions a. **What is ΔH?** b. **Is this dissolution endothermic or exothermic?** c. **What is ΔS?** d. **Determine ΔG at 298K.** ### Explanation - **ΔH (Enthalpy Change)**: Calculate using the slope of the graph (slope = -ΔH/R). - **Endothermic or Exothermic**: Determine based on the sign of ΔH. - **ΔS (Entropy Change)**: Calculate from the y-intercept (intercept = ΔS/R). - **ΔG (Gibbs Free Energy Change)**: Use the formula ΔG = ΔH - TΔS at 298K.
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Transcribed Image Text:## Educational Content: Thermodynamics of Borax ### Experiment Overview A student performed titrations of samples of borax at different temperatures to determine the solubility product constant (Ksp) at each temperature. The student graphed 1/T (K^-1) versus ln(Ksp) and obtained a trend line and R² value. ### Graph Description The graph is titled "Thermodynamics of Borax." The x-axis represents 1/T (K^-1), ranging from approximately 0.00295 to 0.00325. The y-axis represents ln(Ksp), ranging from -3.5 to 0. - Data points are plotted, showing a negative linear correlation. - The trend line equation is y = -14589x + 43.502. - The R² value is 0.9466, indicating a strong correlation between the variables. ### Questions a. **What is ΔH?** b. **Is this dissolution endothermic or exothermic?** c. **What is ΔS?** d. **Determine ΔG at 298K.** ### Explanation - **ΔH (Enthalpy Change)**: Calculate using the slope of the graph (slope = -ΔH/R). - **Endothermic or Exothermic**: Determine based on the sign of ΔH. - **ΔS (Entropy Change)**: Calculate from the y-intercept (intercept = ΔS/R). - **ΔG (Gibbs Free Energy Change)**: Use the formula ΔG = ΔH - TΔS at 298K.
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