Given reactions are: 2NH3(9) 1. N2(g) + 3H2(g) 2. H2(g) + Cl2(g) 2HC 3. 2CO2(g) + O2(g) → 2CO2(g) Calculate the standard entropy values for the following reactions at 25°C.

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Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
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Chapter17: Spontaneity, Entropy, And Free Energy
Section: Chapter Questions
Problem 5RQ: What is the third law of thermodynamics? What are standard entropy values, S, and how are these S...
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Step 1
We are given reaction :
4) 302 (g)
NH2CONH2 (aq)
+ H₂0 (1)
5) 2 NH3(g)
CO2 (g)
Step 2
4) Given reaction is :
302 (g)
203 (g)
As,
AS⁰ = [Sum of entropy of formation of products] - [Sum of entropy of formation of
reactants]
Then,
AS⁰ = [2 x AS°f of 03 (g) ] - [3 × AS°ƒ of O2 (g)]
= [2 x 238.93 J/(K.mol)] - [3 x 205.14 J/(K.mol)]
= -137.56 J/(K.mol)
AS° -137.56 J/(K.mol)
Step 3
5) Given reaction is :
2 NH3(g)
+ H₂0 (1)
+ CO2(g)
NH2CONH2 (aq)
As,
AS⁰ = [Sum of entropy of formation of products] - [Sum of entropy of formation of
reactants]
Then,
2
AS⁰ = [AS°f of NH₂CONH2 (aq) + AS°f of H₂O(1) ]-[2x AS°f of NH3(g) + AS°f of CO₂ (g) ]
= [104.60 J/(K.mol) + 69.91 J/(K.mol) ] - [2 x 192.45 J/(K.mol) + 213.74 J/(K.mol)]
= -424.13 J/(K.mol)
AS = -424.13 J/(K.mol)
+
203 (g)
Transcribed Image Text:Step 1 We are given reaction : 4) 302 (g) NH2CONH2 (aq) + H₂0 (1) 5) 2 NH3(g) CO2 (g) Step 2 4) Given reaction is : 302 (g) 203 (g) As, AS⁰ = [Sum of entropy of formation of products] - [Sum of entropy of formation of reactants] Then, AS⁰ = [2 x AS°f of 03 (g) ] - [3 × AS°ƒ of O2 (g)] = [2 x 238.93 J/(K.mol)] - [3 x 205.14 J/(K.mol)] = -137.56 J/(K.mol) AS° -137.56 J/(K.mol) Step 3 5) Given reaction is : 2 NH3(g) + H₂0 (1) + CO2(g) NH2CONH2 (aq) As, AS⁰ = [Sum of entropy of formation of products] - [Sum of entropy of formation of reactants] Then, 2 AS⁰ = [AS°f of NH₂CONH2 (aq) + AS°f of H₂O(1) ]-[2x AS°f of NH3(g) + AS°f of CO₂ (g) ] = [104.60 J/(K.mol) + 69.91 J/(K.mol) ] - [2 x 192.45 J/(K.mol) + 213.74 J/(K.mol)] = -424.13 J/(K.mol) AS = -424.13 J/(K.mol) + 203 (g)
Given reactions are:
1.
N2(g) + 3H2(g)
2NH3(g)
2. H2(g) + Cl2(g) → 2HCl
3.
2CO2(g) + O2(g) → 2CO2(g)
1
Calculate the standard entropy values for the following reactions at 25°C.
Step 2
Calculation of standard enthalpy of the reactions (AHº) :-
1. Given reaction is:
N₂ (g) + 3H₂ (g)--------->2NH3(g)
As,
AHO = [Sum of enthalpy of formation of products] - [Sum of enthalpy of formation of reactants]
Then,
AH° = [2 x AHºf of NH3 (g)] - [AH° of N₂ (g) + 3 x AH°f of H₂ (g)]
= [2 x (-45.9 KJ/mole)] - [0 KJ/mole + 3 x 0 KJ/mole]
= -91.8 KJ
Therefore, AH°= -91.8 KJ
Step 3
2. Given reaction is:
H₂ (g) + Cl₂ (g) -----------> 2HCl (g)
As,
AHO = [Sum of enthalpy of formation of products] - [Sum of enthalpy of formation of reactants]
Then,
AH° = [2 x AH° of HCL (g)] - [AH°f of H₂ (g) + AH°f of Cl₂ (g)]
Then,
AH = [2 x (-92.3 KJ/mole)] - [0 KJ/mole + 0 KJ/mole]
- 184.6 KJ/mole
Hence, AH = - 184.6 KJ/mole
Step 4
3. Given reaction is:
2CO (g) + O₂ (g) -----------> 2CO₂ (g)
As,
AHO = [Sum of enthalpy of formation of products] - [Sum of enthalpy of formation of reactants]
Then,
AH° = [2 x AHºf of CO₂ (g)] - [2 x AHºf of CO (g) + AH° of O₂ (g)]
Then,
AH° [2x()]-[2 x () + 0 KJ/mole]
= [2 x (-393.5 KJ/mole)] - [2 x (-110.5 KJ/mole)]
= -787 KJ/mole +221 KJ/mole
= -566 KJ/mole
Hence, AH° = -566 KJ/mole
Transcribed Image Text:Given reactions are: 1. N2(g) + 3H2(g) 2NH3(g) 2. H2(g) + Cl2(g) → 2HCl 3. 2CO2(g) + O2(g) → 2CO2(g) 1 Calculate the standard entropy values for the following reactions at 25°C. Step 2 Calculation of standard enthalpy of the reactions (AHº) :- 1. Given reaction is: N₂ (g) + 3H₂ (g)--------->2NH3(g) As, AHO = [Sum of enthalpy of formation of products] - [Sum of enthalpy of formation of reactants] Then, AH° = [2 x AHºf of NH3 (g)] - [AH° of N₂ (g) + 3 x AH°f of H₂ (g)] = [2 x (-45.9 KJ/mole)] - [0 KJ/mole + 3 x 0 KJ/mole] = -91.8 KJ Therefore, AH°= -91.8 KJ Step 3 2. Given reaction is: H₂ (g) + Cl₂ (g) -----------> 2HCl (g) As, AHO = [Sum of enthalpy of formation of products] - [Sum of enthalpy of formation of reactants] Then, AH° = [2 x AH° of HCL (g)] - [AH°f of H₂ (g) + AH°f of Cl₂ (g)] Then, AH = [2 x (-92.3 KJ/mole)] - [0 KJ/mole + 0 KJ/mole] - 184.6 KJ/mole Hence, AH = - 184.6 KJ/mole Step 4 3. Given reaction is: 2CO (g) + O₂ (g) -----------> 2CO₂ (g) As, AHO = [Sum of enthalpy of formation of products] - [Sum of enthalpy of formation of reactants] Then, AH° = [2 x AHºf of CO₂ (g)] - [2 x AHºf of CO (g) + AH° of O₂ (g)] Then, AH° [2x()]-[2 x () + 0 KJ/mole] = [2 x (-393.5 KJ/mole)] - [2 x (-110.5 KJ/mole)] = -787 KJ/mole +221 KJ/mole = -566 KJ/mole Hence, AH° = -566 KJ/mole
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