HW 1

Problem 0

• Read the notes here
• And here
• State if you did this

Problem 1

Write following (from memory, study first if needed):

• Air mole fraction of O2
• Air mole fraction of N2
• mole ratio of N2 to O2 in air
• mole ratio of Air to O2 in air
• MW of O2
• MW of N2
• MW of C (to 5 total significant digits)
• Mean MW of air (2 significant digits)
• Convert mole fraction of O2 in air to mass fraction by hand using the formulas provided (which you should know)
• Convert mole fraction of N2 in air to mass fraction by hand using the formulas provided (which you should know)

Problem 2

• Write the stoichiometric reaction for methane combustion in air to products of complete combustion (PCC)
• Write the stoichiometric reaction for general C$_x$H$_y$ combustion in air to products of complete combustion
• Define equivalence ratio
• Define excess air
• Derive the formula for excess air in terms of equivalence ratio
• Write the C$_x$H$_y$ reaction in terms of $\phi$ when rich
• Write the C$_x$H$_y$ reaction in terms of $E$ when lean

Problem 3

• Define the mixture fraction
• What are the min and max values of mixture fraction?
• Write the equivalence ratio in terms of the mixture fraction and the stoichiometric mixture fraction.
• What is the stoichiometric mixture fraction for methane/air combustion to PCC?
• What is the stoichiometric mixture fraction for methane combustion if you change the streams from methane and air to methane/nitrogen and oxygen? That is, move the nitrogen in air to the fuel stream instead of the air stream.