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Each of the main engines on the Space Shuttle burned liquid hydrogen (H₂) and liquid oxygen (O₂) at a mass ratio of 1 kg H₂ to 6 kg O₂. a) Write a balanced chemical equation for the reaction. If there is excess O2, the products are H₂O and O₂. If there is deficient O₂ the products are H₂O and H₂. Assume that there is no dissociation of the products. b) The fuel and oxidizer pumps increase the pressure of the H₂ and the O₂ to 20 MPa. The oxygen and hydrogen enter a pre-burner that increases their temperatures to 900 K; these gaseous reactants at 900 K then enter the combustion chamber. If the temperature in the combustion chamber is 3,400 K, what is the heat transfer to or from the combustion chamber in kJ per 1 kilogram of H₂ fuel? Assume that the combustion process happens at a constant pressure. Now assume that there is no heat transfer in the combustion chamber. Find the adiabatic flame temperature. c)

Each of the main engines on the Space Shuttle burned liquid hydrogen (H₂) and liquid oxygen (O₂) at a mass ratio of 1 kg H₂ to 6 kg O₂. a) Write a balanced chemical equation for the reaction. If there is excess O2, the products are H₂O and O₂. If there is deficient O₂ the products are H₂O and H₂. Assume that there is no dissociation of the products. b) The fuel and oxidizer pumps increase the pressure of the H₂ and the O₂ to 20 MPa. The oxygen and hydrogen enter a pre-burner that increases their temperatures to 900 K; these gaseous reactants at 900 K then enter the combustion chamber. If the temperature in the combustion chamber is 3,400 K, what is the heat transfer to or from the combustion chamber in kJ per 1 kilogram of H₂ fuel? Assume that the combustion process happens at a constant pressure. Now assume that there is no heat transfer in the combustion chamber. Find the adiabatic flame temperature. c)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Each of the main engines on the Space Shuttle burned liquid hydrogen (H₂) and liquid oxygen (0₂) at a mass ratio of 1 kg H₂ to 6 kg O2. a) Write a balanced chemical equation for the reaction. If there is excess O2, the products are H₂O and O₂. If there is deficient O₂ the products are H₂O and H₂. Assume that there is no dissociation of the products. b) The fuel and oxidizer pumps increase the pressure of the H₂ and the O₂ to 20 MPa. The oxygen and hydrogen enter a pre-burner that increases their temperatures to 900 K; these gaseous reactants at 900 K then enter the combustion chamber. If the temperature in the combustion chamber is 3,400 K, what is the heat transfer to or from the combustion chamber in kJ per 1 kilogram of H₂ fuel? Assume that the combustion process happens at a constant pressure. c) Now assume that there is no heat transfer in the combustion chamber. Find the adiabatic flame temperature.
Transcribed Image Text:Each of the main engines on the Space Shuttle burned liquid hydrogen (H₂) and liquid oxygen (0₂) at a mass ratio of 1 kg H₂ to 6 kg O2. a) Write a balanced chemical equation for the reaction. If there is excess O2, the products are H₂O and O₂. If there is deficient O₂ the products are H₂O and H₂. Assume that there is no dissociation of the products. b) The fuel and oxidizer pumps increase the pressure of the H₂ and the O₂ to 20 MPa. The oxygen and hydrogen enter a pre-burner that increases their temperatures to 900 K; these gaseous reactants at 900 K then enter the combustion chamber. If the temperature in the combustion chamber is 3,400 K, what is the heat transfer to or from the combustion chamber in kJ per 1 kilogram of H₂ fuel? Assume that the combustion process happens at a constant pressure. c) Now assume that there is no heat transfer in the combustion chamber. Find the adiabatic flame temperature.
Expert Solution
Step 1

a) The balanced chemical equation for the combustion of hydrogen and oxygen is:

2H₂ + O₂ → 2H₂O

If there is excess oxygen, the reaction produces water and oxygen:

2H₂ + 2O₂ → 2H₂O + O₂

If there is deficient oxygen, the reaction produces water and hydrogen:

2H₂ + O₂ → 2H₂O + H₂

 

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