(a)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 600 0C
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 600 0C = 873 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
Heat of formation of ammonia is,
For 2 moles of NH3,
We get,
(b)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 50 0C
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 50 0C = 323 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(f)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 650 0C
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 650 0C = 923 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(i)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 700 0C
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 700 0C = 973 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(j)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 590 F
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 590 F =
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(l)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 770 F
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 770 F =
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
A3= 3.280
>n3 = 1
3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(m)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 850 K
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 850 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(n)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 1300 K
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A, B, C, D are constants
To = Intial temperature = 298 K
T = Final temperature = 1300 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(o)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 800 0C
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A, B, C, D are constants
To = Intial temperature = 298 K
T = Final temperature = 800 0C = 1073 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(r)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 450 0C
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 450 0C = 723 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(t)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 860 F
In this case,
N2 + 3H2 ? 2 NH3
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 860 F =
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(u)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 750 K
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 750 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(v)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 900 K
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 900 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(w)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 400 0C
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 400 0C = 673 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(x)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 375 0C
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 375 0C = 648 K
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
(y)
Interpretation:
To determine the standard heat of reaction of one of the reactions at 1490 F
In this case,
N2 + 3H2 ? 2 NH3
Concept Introduction:
The integral of rate of change of molar heat capacity is the enthalpy change as given below: -
Where,
A,B,C,D are constants
To = Intial temperature = 298 K
T = Final temperature = 1490 F =
Cp= Molar heat capacity
R= Universal Gas constant
Answer to Problem 4.24P
Explanation of Solution
N2 + 3H2 ? 2 NH3
Basis of Number of Moles of N2 = 1
Number of Moles of
Number of Moles of H2 = 3
For NH3
n1 = 2
A1= 3.578
B1= 0.00302
D1 = -18600
For H2
n2 = 3
A2= 3.249
B2= 0.000422
D2 = 8300
For N2
n3 = 1
A3= 3.280
B3= 0.000593
D3 = 4000
i = 1,2,3 and substituting the values for each of the reactants and products below
Total mean heat capacity of combined stream is as given below,
From the table and the reaction we get,
We get,
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