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Understanding Respiratory Quotient Calculations

Mar 16, 2025

Lecture Notes on Respiratory Quotient (RQ)

Definition of Respiratory Quotient (RQ)

  • RQ Definition:
    • Ratio of moles of CO2 produced to moles of O2 used during respiration over a period of time.
    • Alternatively, the volume of CO2 produced divided by the volume of O2 used during respiration.

Examples of RQ Calculations

Aerobic Respiration of Glucose

  • Chemical Equation: C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O
  • RQ Calculation:
    • Moles of CO₂ produced = 6
    • Moles of O₂ used = 6
    • RQ for Glucose = 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: Typically around 1.0
  • Proteins: Typically around 0.9
  • Lipids: Typically around 0.7
  • Important for exams, especially carbohydrates and lipids.

Anaerobic Respiration

  • Anaerobic Respiration in Yeast:
    • Produces CO₂ but no O₂ is used.
    • RQ cannot be calculated as it involves division by zero.
  • RQ is primarily used for aerobic respiration.

Practical Application and Experiments

Experiment Setup for Measuring RQ

  • Germinating Seeds:
    • Chamber setup with capillary tube and soda lime.
    • Soda lime absorbs CO₂, leaving only O₂ in the chamber.
    • Measure movement of liquid droplet in capillary tube to calculate O₂ usage.

Calculating Volumes

  • With Soda Lime:
    • Measure distance moved by droplet to find volume of O₂ used.
  • Without Soda Lime:
    • Repeat experiment to find net movement and calculate CO₂ volume produced.
  • Formula: ( \text{Volume} = \pi r^2 L )
    • ( r ) = radius of tube, ( L ) = distance moved.

Example Calculations

Example 1: Seeds Experiment

  • With Soda Lime:
    • Droplet moves 5mm, radius = 1mm.
    • Volume of O₂ used = 15.7 mm³.
  • Without Soda Lime:
    • Net movement = 0.3 mm, CO₂ volume = 14.8 mm³.
  • RQ: 14.8/15.7 = 0.94
    • Indicates usage of proteins/carbohydrates.

Example 2: Insect Experiment

  • Temperature: 32°C
  • With Soda Lime:
    • Droplet moves 8 mm, radius = 0.3 mm.
    • Volume of O₂ used = 2.3 mm³.
  • Without Soda Lime:
    • Net movement = 2 mm, CO₂ volume = 1.7 mm³.
  • RQ: 1.7/2.3 = 0.74
    • Indicates usage of lipids.

Conclusion

  • RQ is a useful measure for determining the type of substrate being metabolized during respiration.
  • Understanding and calculating RQ can reveal metabolic changes under different conditions, like exercise.