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

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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

**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.
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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