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Understanding Respiratory Quotient (RQ)

Aug 18, 2024

Respiratory Quotient (RQ)

Definition of RQ

  • RQ is the mole or volume of carbon dioxide (CO2) produced during respiration divided by the mole or volume of oxygen (O2) used up during the same period.
  • Two Definitions:
    • Moles of CO2 produced / Moles of O2 used
    • Volume of CO2 produced / Volume of O2 used

Examples of RQ Calculation

Aerobic Respiration of Glucose

  • Chemical Equation: C6H12O6 + 6O2 -> 6CO2 + 6H2O
  • RQ Calculation:
    • Moles of CO2 = 6
    • Moles of O2 = 6
    • RQ = 6 / 6 = 1.0

Aerobic Respiration of Fatty Acids

  • Example Fatty Acid: C18H34O2
  • Requires 25.5 moles of O2; produces 18 moles of CO2
  • RQ Calculation:
    • RQ = 18 / 25.5 ≈ 0.7

Memorization of RQ Values

  • Carbohydrates: RQ ≈ 1.0
  • Proteins: RQ ≈ 0.9
  • Lipids: RQ ≈ 0.7
  • Important to memorize for exams.

RQ and Anaerobic Respiration

  • RQ cannot be calculated for anaerobic respiration as no O2 is used.

Practical Application: Measuring RQ on a Treadmill

  • Activities and RQ Observations:
    • Standing: RQ = 1.0
    • Slow Jog: RQ = 0.7 (switch to lipid use)
    • Walking: RQ = 1.0
    • Sprinting: RQ > 1.0 (anaerobic respiration, less O2 used)

Experiment to Measure RQ

Using Germinating Seeds

  1. Place seeds in a sealed chamber with a capillary tube.
  2. Use soda lime (KOH/NaOH) to absorb CO2.
  3. Measure movement of liquid droplet in the tube to determine oxygen use.

Calculating Volume of Oxygen Used

  • Distance droplet moves = volume of O2 used
  • Use formula for volume of a cylinder: Ï€r²L
    • Example: Radius = 1 mm, Distance = 5 mm
    • Volume of O2 = Ï€(1²)(5) ≈ 15.7 mm³

Determining Volume of CO2 Produced

  • Repeat experiment without soda lime.
  • Measure droplet movement:
    • Example: Initial movement = 5 mm, Without soda lime = 0.3 mm
    • Volume of CO2 = Ï€r²(4.7 mm) ≈ 14.8 mm³

Calculating RQ

  • RQ = Volume of CO2 / Volume of O2
    • Example: RQ = 14.8 / 15.7 ≈ 0.94
    • Assumes use of carbohydrates/proteins.

Another Example

  • With soda lime: Droplet moves 8 mm
  • Without soda lime: Droplet moves 2 mm
  • Calculation:
    • Volume of CO2 = Ï€r²(6 mm) ≈ 1.7 mm³
    • RQ = 1.7 / 2.3 ≈ 0.74
    • Assumes use of lipids at 32°C

Conclusion

  • RQ provides insight into the type of substrate being used in respiration (carbohydrates, proteins, lipids).
  • Important to understand both theoretical concepts and practical experiments for calculating RQ.