Gibbs Free Energy/Enthelpy/Entropy Question

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Discussion Overview

The discussion revolves around calculating the Gibbs Free Energy (ΔG°) for a specific chemical reaction at a given temperature, focusing on the enthalpy (ΔH°) and entropy (ΔS°) values provided. The context is primarily homework-related, involving the application of thermodynamic equations.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • Post 1 presents the reaction and the relevant thermodynamic data, along with an initial calculation of ΔG° that yields a positive value, which the poster believes is incorrect.
  • Post 2 suggests that the enthalpy and entropy of formation should be calculated as the summation of products minus the summation of reactants, indicating a need to double-check the entropy calculation.
  • Post 3 reiterates the method for calculating enthalpy and entropy of formation, confirming the entropy value of -147.65 J K^-1 mol^-1 or -.14765 kJ K^-1 mol^-1 as consistent with their calculations.
  • Post 4 raises the possibility that significant digits may be a factor in the calculations.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the correct calculation of ΔG°. There are differing views on the accuracy of the entropy calculation and the impact of significant digits, indicating unresolved issues in the discussion.

Contextual Notes

There are potential limitations in the assumptions regarding the independence of ΔH° and ΔS° from temperature, as well as the handling of significant figures in the calculations.

vancity94
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Homework Statement



Assume that ΔH° and ΔS° are independent of temperature. Calculate ΔG° for the following reaction at 533 K.

2Cu(+)(aq) ----> Cu(s) + Cu(2+)(aq)

Cu(2+)(aq) enthalpy (H) of formation = 64.77 kJ mol^-1; molar entropy (S) = -99.6 J K^-1 mol^-1
Cu(s) enthalpy (H) of formation = 0 kJ/mol; molar entropy (S) = 33.15 J K^-1 mol^-1
Cu(+)aq enthalpy (H) of formation = 71.67 kJ/mol; molar entropy (S) = 40.6 J K^-1 mol^-1

Homework Equations



ΔG = ΔH - TΔS

The Attempt at a Solution



ΔH = (64.77) + 0 - 2(71.67) = -78.57 kJ mol^-1
ΔS = (33.15) + -99.6 -2(40.6) = -.14765 kJ K^-1 mol^-1

ΔG = ΔH - TΔS
= -78.57 - 533(-.14765)
= .12745 = wrong

I know I'm messing up somewhere because the correct answer is negative.
 
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To find the enthalpy of formation and entropy of formation its the summation of products minus the summation of the reactants, each multiplied by their respective coefficients. Double check your entropy calculation.
 
Ki-nana18 said:
To find the enthalpy of formation and entropy of formation its the summation of products minus the summation of the reactants, each multiplied by their respective coefficients. Double check your entropy calculation.

I'm still getting -147.65 J K^-1 mol^-1, or -.14765 kJ K^-1 mol^-1.
 
Significant digits perhaps?
 

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