What are the main assumptions in the ideal gas law equation and how are they corrected in terms of the real gas law equation?
The ideal gas law assumes that 1) volume of particles is negligible, ie. atomic size is the same regardless of the atom, and 2) there are no attractive or repulsive forces between atoms/ions/molecules. These two assumptions are corrected in the real gas law equation with parameters a and b. The correction factor a is defined as the terms that corrects for the attraction between atoms/ions/molecules. While the correction factor b corrects for the volume taken up by atoms/ions/molecules.
What are the reactants and products of a typical combustion reaction of an organic compound?
The reactants would be the organic compound (C6H12, as an example) reacting with oxygen (O2 from the fire in combustion) while the products would always be water and carbon dioxide. The only caveat is that you MUST balance the reaction with correct stoichiometric coefficients.
What are the main differences in both practical and theoretical aspects of a derivative and integral?
Differentiation is a process of calculating a rate of change or "slope" of a curve while an integral is the process of taking the area under a curve. They are essentially opposites of each other and typically an integral is called the anti-derivative. In practice, different rules and calculations apply to taking a derivative versus taking an integral.