Provide detailed responses to the following:

1. One of the most common numerical equations used by respiratory therapists in the clinical setting is the Alveolar Air Equation or Alveolar Gas Equation. The Alveolar Air Equation is expressed as P (A-a) O₂.Explain the clinical importance of this calculation
2. What does each letter stands for?
3. Give an example of how to solve this equation. (You can make up some numbers just make sure the math adds up)
4. List another numerical or algebraic equation commonly used by respiratory therapists in practice and explain its clinical significance to patient care.