When answering this problem, report the answer with the appropriate number of significant figures. When entering units, use proper abbreviated units with proper capitalization. A linear fit of the data in the chart yields the equation y = -5017x+19.081 with an R2 value of 0.9922. Determine the enthalpy (ΔH, in kJ) associated with dissolving KNO3. please put the answer in this format: ______x10 ____power ____units
When answering this problem, report the answer with the appropriate number of significant figures. When entering units, use proper abbreviated units with proper capitalization. A linear fit of the data in the chart yields the equation y = -5017x+19.081 with an R2 value of 0.9922. Determine the enthalpy (ΔH, in kJ) associated with dissolving KNO3. please put the answer in this format: ______x10 ____power ____units
Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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When answering this problem, report the answer with the appropriate number of significant figures. When entering units, use proper abbreviated units with proper capitalization.
A linear fit of the data in the chart yields the equation y = -5017x+19.081 with an R2 value of 0.9922. Determine the enthalpy (ΔH, in kJ) associated with dissolving KNO3.
please put the answer in this format: ______x10 ____power ____units

Transcribed Image Text:**Title: Thermodynamic Data for Solubility of KNO₃**
**Graph Description:**
This graph presents the thermodynamic data for the solubility of potassium nitrate (KNO₃). The data is represented as a plot of the natural logarithm of the solubility product constant (ln Ksp) versus the inverse of temperature (1/T in K⁻¹).
**Axes:**
- The x-axis represents the inverse temperature, labeled as \(1/T\) (K⁻¹), ranging from approximately 0.003 to 0.00335.
- The y-axis represents the natural logarithm of the solubility product constant, labeled as \( \text{ln Ksp} \), ranging from 0 to 4.
**Data Trend:**
- The data points show a downward linear trend, indicating that as the inverse temperature increases, the ln Ksp decreases. This suggests a decrease in solubility with decreasing temperature.
**Line of Best Fit:**
- The graph includes a dashed line representing the line of best fit. The equation for this line is given as \( y = -5017x + 19.081 \).
- The correlation coefficient \( R^2 = 0.9922 \) suggests a very strong linear relationship between ln Ksp and 1/T.
This graph is useful for understanding the temperature dependence of the solubility of KNO₃ and for calculating thermodynamic parameters related to its dissolution.
Expert Solution

Introduction
From the plot ln Ksp Vs 1/T
slope = ΔH / R
therefore ΔH = slope x 8.314 J/mol K
Equation for the line is,
y = -5017x+19.081
this is in the format
y = mx + C
where m is the slope
so, slope = -5017 K-1
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