Concept explainers
(a)
Interpretation:
Calculate the final flame temperature of ethylene if ethylene is heated from initial temperature
Concept Introduction:
Since we need to calculate flame temperature, hence we will consider composition of product gas.
The transfer of heat is defined as:
.....(1)
Where
and
.....(2)
Where
(a)
Answer to Problem 4.21P
Explanation of Solution
Given information:
The standard enthalpies of formation at standard temperature
Values are:
The ethylene is burned with theoretical amount of air according to reaction:
.....(A)
Applying energy balance and considering steady state process,
Hence
Now,
The product gas has nitrogen, carbon dioxide and water gas if complete combustion takes place with theoretical amount of air.
The one mole of ethylene burns with three moles of air for the complete combustion and the ratio of Nitrogen: Oxygen in the air is
The one mole of ethylene gives two moles of carbon dioxide and water gas after the complete combustion.
So, composition of product gas is:
To find value of constants in equation (2),
Values of above constants are given in appendix C table C.1 and noted down below:
So,
So, from equation (2)
Put the values
Now from equation (1),
Put in above
On solving,
Hence,
(b)
Interpretation:
Calculate the final flame temperature of ethylene if ethylene is burned from initial temperature
Concept Introduction:
Since we need to calculate flame temperature, hence we will consider composition of product gas.
The transfer of heat is defined as:
.....(1)
Where
and
.....(2)
Where
(b)
Answer to Problem 4.21P
Explanation of Solution
Given information:
The standard enthalpies of formation at standard temperature
Values are:
The ethylene is burned with theoretical amount of air according to reaction:
.....(A)
Applying energy balance and considering steady state process,
Hence
Now,
For
The one mole of ethylene gives two moles of carbon dioxide and water gas after the complete combustion.
The proportion of composition of nitrogen: oxygen in air is
To find value of constants in equation (2),
Values of above constants are given in appendix C table C.1 and noted down below:
So,
So, from equation (2)
Put the values
Now from equation (1),
Put in above
On solving,
Hence,
(c)
Interpretation:
Calculate the final flame temperature of ethylene if ethylene is burned from initial temperature
Concept Introduction:
Since we need to calculate flame temperature, hence we will consider composition of product gas.
The transfer of heat is defined as:
.....(1)
Where
and
.....(2)
Where
(c)
Answer to Problem 4.21P
Explanation of Solution
Given information:
The standard enthalpies of formation at standard temperature
Values are:
The ethylene is burned with theoretical amount of air according to reaction:
.....(A)
Applying energy balance and considering steady state process,
Hence
Now,
For
The one mole of ethylene gives two moles of carbon dioxide and water gas after the complete combustion.
The proportion of composition of nitrogen:oxygen in air is
To find value of constants in equation (2),
Values of above constants are given in appendix C table C.1 and noted down below:
So,
So, from equation (2)
Put the values
Now from equation (1),
Put in above
On solving,
Hence,
(d)
Interpretation:
Calculate the final flame temperature of ethylene if ethylene is burned from initial temperature
Concept Introduction:
Since we need to calculate flame temperature, hence we will consider composition of product gas.
The transfer of heat is defined as:
.....(1)
Where
and
.....(2)
Where
(d)
Answer to Problem 4.21P
Explanation of Solution
Given information:
The standard enthalpies of formation at standard temperature
Values are:
The ethylene is burned with theoretical amount of air according to reaction:
.....(A)
Applying energy balance and considering steady state process,
Hence
Now,
For
The one mole of ethylene gives two moles of carbon dioxide and water gas after the complete combustion.
The proportion of composition of nitrogen: oxygen in air is
To find value of constants in equation (2),
Values of above constants are given in appendix C table C.1 and noted down below:
So,
So, from equation (2)
Put the values
Now from equation (1),
Put in above
On solving,
Hence,
(e)
Interpretation:
Calculate the final flame temperature of ethylene if ethylene is burned from initial temperature
Concept Introduction:
Since we need to calculate flame temperature, hence we will consider composition of product gas.
The transfer of heat is defined as:
.....(1)
Where
and
.....(2)
Where
(e)
Answer to Problem 4.21P
Explanation of Solution
Given information:
The standard enthalpies of formation at standard temperature
Values are:
The ethylene is burned with theoretical amount of air according to reaction:
.....(A)
Applying energy balance and considering steady state process,
Temperature of air is increased to
So,
For air, Values of constants used in equation (2) are given in appendix C table C.1 and noted down below:
Hence,
The number of moles of oxygen are therefore,
For
Now,
For
The one mole of ethylene gives two moles of carbon dioxide and water gas after the complete combustion.
The proportion of composition of nitrogen:oxygen in air is
To find value of constants in equation (2),
So,
So, from equation (2)
Put the values
Put in above
On solving,
Hence,
(f)
Interpretation:
Calculate the final flame temperature of ethylene if ethylene is burned from initial temperature
Concept Introduction:
Since we need to calculate flame temperature, hence we will consider composition of product gas.
The transfer of heat is defined as:
.....(1)
Where
and
.....(2)
Where
(f)
Answer to Problem 4.21P
Explanation of Solution
Given information:
The standard enthalpies of formation at standard temperature
Values are:
The ethylene is burned with theoretical amount of air according to reaction:
.....(A)
Applying energy balance and considering steady state process,
Hence
Now,
The product gas has nitrogen, carbon dioxide and water gas if complete combustion takes place with theoretical amount of air.
The one mole of ethylene gives two moles of carbon dioxide and water gas after the complete combustion.
So, composition of product gas is:
To find value of constants in equation (2),
Values of above constants are given in appendix C table C.1 and noted down below:
So,
So, from equation (2)
Put the values
Now from equation (1),
Put in above
On solving,
Hence,
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Chapter 4 Solutions
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