To find:
a) Calculate the fuel value of
b) How much heat is released during the combustion of
c) How many grams of
d) Assume white gas is 25%
Answer to Problem 9.110QA
Solution:
a) Fuel value of
b)
c)
d)
Explanation of Solution
1) Concept:
Fuel value is the amount of energy generated by complete combustion of a particular mass of fuel (hydrocarbon,
This can be calculated from the enthalpy change for combustion reaction.
From the heat of combustion of
The amount of energy required to raise the temperature can be calculated using mass, specific heat, and change in temperature,
i.e.
where,
2) Formula:
i.
ii.
3) Given:
i)
ii) Amount of
iii) Amount of water
iv) Initial temperature of water =
v) Final temperature of water =
vi) White gas =
vii) Fuel value of
4) Calculation:
a) Calculating fuel value of
Heat of combustion per mol is the amount of energy released in complete combustion of 1 mol of that substance.
Heat of combustion
Mass of
Therefore, the fuel value of
Thus, the fuel value for
b) Calculating the heat released during the combustion of
Converting mass in
Calculating moles from given mass using molar mass as
Molar mass of
Heat released for
c) Calculating amount of
Assume that all the heat released during combustion is used to heat the water. Hence, the amount of energy gained by water will be equal to amount of energy released by the combustion of
i.e.,
Converting the mass of water from
Therefore, energy required to increase the temperature of
Plug in the given values:
Therefore,
Here, we assume that all heat, which is required to heat water, is coming from the combustion of
Converting moles to mass using molar mass as
Therefore,
d) Calculating the amount of white gas needed to heat
White gas =
Fuel value of
Fuel value of
Thus, the total fuel value of white gas is
The energy required to increase the temperature of
So, the mass of white gas required to released
Therefore,
Conclusion:
Fuel value for the mixture of hydrocarbons is calculated using the proportion in which they are mixed.
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Chapter 9 Solutions
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