Esimating delta S and delta H from temp and Kb

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SUMMARY

The discussion focuses on estimating the changes in entropy (ΔS) and enthalpy (ΔH) for the reaction involving ammonia (NH3) by analyzing the temperature-dependent equilibrium constant (Kb). The relationship between free energy and Kb is defined by the equation ΔG° = -RT ln K. Measured Kb values at temperatures of 283 K, 293 K, and 303 K were provided, leading to the conclusion that ΔS and ΔH can be approximated as temperature-independent over moderate ranges. A linear relationship can be established using the equation ln Kb = ΔH/R - ΔS/R, allowing for the extraction of ΔH and ΔS from a plotted graph of the data.

PREREQUISITES
  • Understanding of thermodynamics, specifically Gibbs free energy.
  • Familiarity with the equilibrium constant (Kb) and its temperature dependence.
  • Knowledge of linear equations and graphing techniques.
  • Basic principles of chemical kinetics and reaction thermodynamics.
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  • Learn how to derive and apply the Gibbs free energy equation in thermodynamic calculations.
  • Study the methods for plotting and interpreting data to estimate thermodynamic parameters.
  • Explore the concept of temperature dependence in equilibrium constants for various reactions.
  • Investigate the use of the Van 't Hoff equation to relate changes in Kb with temperature.
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Chemists, chemical engineers, and students studying thermodynamics who are interested in estimating thermodynamic properties from experimental data.

chazgurl4life
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The relationship between free energy and the equilibrium constant is

Go = -RT ln K

By measuring the pH at various temperatures, the Kb for NH3(aq) was found to be temperature dependent, yielding the following values:

temperature (K) Kb
283 1.34 X 10-5
293 1.42 X 10-5
303 1.50 X 10-5

Over moderate temperature ranges (ranges less than 100 K degrees) both deltaSo and deltaHo can be considered approximately temperature independent. By plotting the available information appropriately, obtain estimates for deltaSo and delayHo for the reaction:


ok so i figured out that my y=mx+b equation should loook lik:

lnKb=delta H/R(gas constnt) - delta S/r

bbut what is my x-axis and y axis?



ok so i figured out that my y=mx+b equation should loook lik:

lnKb=delta H/R(gas constnt) - delta S/r

delat g=delta H-Temp(delta S)
 
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You lost a factor of T in your enthalpy term. By restoring that, you can find a linear relationship between a function of ##K## and a function of ##T##, which will allow you to read off the enthalpy and entropy directly from a graph of the data.
 

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