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BiologyRespiration
Given: 2(C₅₁H₉₈O₆) + 145 O₂ → 102 CO₂ + 98 H₂O + energy
The Respiratory Quotient (RQ) of this biomolecule is:
Options
1
Less than 0.5
2
Between 0.5 and 0.95
3
Between 1.25 and 2
4
1.0
Correct Answer
Between 0.5 and 0.95
Solution
1

RQ = CO₂ evolved / O₂ consumed

From the equation: CO₂ = 102, O₂ = 145

RQ = 102/145 = 0.703

2

0.703 falls between 0.5 and 0.95 → this is a fat (lipid substrate)

C₅₁H₉₈O₆ = tripalmitin (a triglyceride/fat molecule)

Fats have low oxygen-to-carbon ratio → need more O₂ → RQ < 1

RQ = 102/145 ≈ 0.70 → Between 0.5 and 0.95
Substrate = Fat (triglyceride) | Carbohydrate RQ = 1.0
Theory: Respiration
1. Respiratory Quotient — Definition and Significance

Respiratory Quotient (RQ) = ratio of volume of CO₂ released to volume of O₂ consumed during respiration. RQ = CO₂ / O₂. It is a dimensionless ratio measured using a Ganong's respirometer. RQ value tells us which substrate is being respired. Key values: Carbohydrates: RQ = 1.0 (CO₂ produced = O₂ consumed). Fats (lipids): RQ ≈ 0.7 (more O₂ needed, less CO₂ produced). Proteins: RQ ≈ 0.8-0.9 (intermediate). Organic acids (malic acid in succulents): RQ > 1. Anaerobic fermentation: RQ = ∞ (CO₂ released but no O₂ consumed).

2. Why Fat Has RQ < 1

Fats (triglycerides) have the general composition rich in C and H, with very little O compared to carbohydrates. Carbohydrate empirical formula: CH₂O (one O for every C). Fats: approximately CH₂ (very little O, mostly C-H bonds). To oxidise the many C-H bonds in fat: much more O₂ is required. The O₂ consumed >> CO₂ produced → RQ < 1. Tripalmitin: 2(C₅₁H₉₈O₆) + 145 O₂ → 102 CO₂ + 98 H₂O. RQ = 102/145 = 0.703. Typical fat RQ range: 0.6-0.8. Fat respiration releases more energy per gram than carbohydrate (9 kcal/g vs 4 kcal/g) because of greater H content.

3. Glycolysis — First Step of Respiration

Glycolysis occurs in cytoplasm, under both aerobic and anaerobic conditions. Steps: Glucose (C₆H₁₂O₆, 6C) → 2 Pyruvate (C₃H₄O₃, 3C). Yield: 2 ATP (net, after spending 2 ATP in initial steps). 2 NADH. 2 Pyruvate. Enzymes: hexokinase (phosphorylates glucose), phosphofructokinase (PFK, rate-limiting, key regulatory enzyme), pyruvate kinase. Regulation: PFK inhibited by ATP (high energy) and citrate. Activated by AMP and ADP. Aerobic: pyruvate → acetyl-CoA (pyruvate decarboxylation, mitochondrial matrix). Anaerobic: pyruvate → lactate (animals, by lactate dehydrogenase) or ethanol + CO₂ (yeast, by pyruvate decarboxylase + alcohol dehydrogenase).

4. Krebs Cycle (TCA Cycle) — Location and Products

Krebs cycle (citric acid cycle / TCA cycle) occurs in mitochondrial matrix. Per acetyl-CoA (2C entering cycle): Products: 3 NADH, 1 FADH₂, 1 GTP (= 1 ATP), 2 CO₂. Per glucose (2 pyruvates → 2 acetyl-CoA): 6 NADH, 2 FADH₂, 2 GTP, 4 CO₂. Key steps: Oxaloacetate (4C) + Acetyl-CoA (2C) → Citrate (6C) [by citrate synthase]. Citrate → Isocitrate → α-Ketoglutarate (5C) + CO₂ [isocitrate dehydrogenase]. α-Ketoglutarate → Succinyl-CoA (4C) + CO₂ [α-ketoglutarate dehydrogenase]. Succinyl-CoA → Succinate → Fumarate → Malate → Oxaloacetate. Oxaloacetate regenerated → cycle continues. Location of CO₂ release: during Krebs cycle (not glycolysis in aerobic respiration).

5. Electron Transport System (ETS) and ATP Synthesis

ETS on inner mitochondrial membrane. Complexes: Complex I (NADH dehydrogenase): NADH → NAD⁺, pumps 4 H⁺ into intermembrane space. Complex II (succinate dehydrogenase): FADH₂ → FAD, does NOT pump H⁺. Complex III (cytochrome bc1 / ubiquinol-cytochrome c oxidoreductase): pumps 4 H⁺. Complex IV (cytochrome oxidase): reduces O₂ to H₂O, pumps 2 H⁺. ATP Synthase (Complex V / F₀F₁-ATPase): H⁺ flows from intermembrane space → matrix through ATP synthase → ADP + Pi → ATP. ATP yield: NADH → 2.5 ATP. FADH₂ → 1.5 ATP. Per glucose (modern estimates): Glycolysis: 2 ATP + 2 NADH. Pyruvate decarboxylation: 2 NADH. Krebs: 2 GTP + 6 NADH + 2 FADH₂. ETS total: ~30-32 ATP. Total ≈ 30-38 ATP per glucose.

6. Fermentation — Anaerobic Respiration

Fermentation = anaerobic breakdown of organic molecules for energy. Two main types in living organisms: Lactic acid fermentation: glucose → 2 pyruvate → 2 lactate (by lactate dehydrogenase). NAD⁺ regenerated. No CO₂ produced. Net: 2 ATP. Occurs in: animal muscles during intense exercise, RBCs (no mitochondria), Lactobacillus bacteria. Alcoholic fermentation: glucose → 2 pyruvate → 2 acetaldehyde (pyruvate decarboxylase, releases CO₂) → 2 ethanol (alcohol dehydrogenase, regenerates NAD⁺). Net: 2 ATP. Occurs in: yeast (Saccharomyces cerevisiae), some plant seeds in waterlogged conditions. RQ of fermentation: alcoholic = infinity (CO₂ released, no O₂). Note: yeast can do both aerobic and anaerobic — switches based on O₂ availability (Pasteur effect).

7. Respiration in Different Substrates

Carbohydrates: enter as glucose (directly) or after glycogenolysis (glycogen → glucose). RQ = 1.0. Most preferred substrate. 4 kcal/g. Fats: fatty acids activated to acyl-CoA → β-oxidation (in mitochondrial matrix) → acetyl-CoA → Krebs cycle. One palmitic acid (16C): β-oxidation produces 8 acetyl-CoA + 7 NADH + 7 FADH₂ → then Krebs. Total: ~129 ATP per palmitate. 9 kcal/g. RQ ≈ 0.7. Proteins: amino acids → deamination (remove NH₂ group → urea) → carbon skeleton enters at various points of Krebs cycle or glycolysis. Glutamate → α-ketoglutarate. Aspartate → oxaloacetate. Alanine → pyruvate. RQ ≈ 0.8-0.9 depending on amino acid composition. 4 kcal/g. Used as fuel only when carbohydrates and fats depleted (starvation).

8. Pentose Phosphate Pathway

Pentose phosphate pathway (PPP) / hexose monophosphate shunt: alternative to glycolysis. Occurs in cytoplasm. Two phases: Oxidative phase: glucose-6-phosphate → ribulose-5-phosphate + 2 NADPH + CO₂. Non-oxidative phase: interconversion of sugar phosphates. Products: NADPH (reducing power for: fatty acid synthesis, glutathione reduction, nitric oxide synthesis, cytochrome P450 reactions). Ribose-5-phosphate (for nucleotide and nucleic acid synthesis). CO₂ from oxidative decarboxylation. Importance: provides NADPH for: biosynthesis of fatty acids, cholesterol, steroids. Keeping glutathione in reduced form → antioxidant defence. Ribose-5-phosphate for nucleotide synthesis. Active in: liver (fat synthesis), red blood cells (glutathione reduction for antioxidant defence), adrenal cortex (steroid synthesis), lactating mammary gland.

Frequently Asked Questions
1. What is the RQ of tripalmitin (a fat)?
For the given equation: 2(C₅₁H₉₈O₆) + 145 O₂ → 102 CO₂ + 98 H₂O. RQ = CO₂/O₂ = 102/145 = 0.703. This is between 0.5 and 0.95 — typical of fat respiration. Tripalmitin is a triglyceride with 3 palmitic acid (16C) chains. Its high H content relative to O means more O₂ needed to oxidise the C-H bonds than CO₂ is produced.
2. How to calculate RQ from a chemical equation?
From the balanced equation for respiration: identify the coefficient of CO₂ (right side) and O₂ (left side). RQ = coefficient of CO₂ / coefficient of O₂. Example: Glucose: C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O. RQ = 6/6 = 1.0. Tripalmitin: 2(C₅₁H₉₈O₆) + 145O₂ → 102CO₂ + 98H₂O. RQ = 102/145 = 0.703.
3. What is the RQ during starvation?
During starvation, the body first uses glycogen stores, then fat stores, then protein. As fat becomes the primary substrate, RQ drops toward 0.7. In prolonged starvation when protein is being catabolised: RQ ≈ 0.8. In clinical settings, RQ measurement helps determine: nutritional status, type of substrate being metabolised, appropriate nutrition support.
4. What is anaerobic RQ?
In anaerobic respiration (fermentation): C₆H₁₂O₆ → 2C₂H₅OH + 2CO₂ (alcoholic fermentation). O₂ consumed = 0. CO₂ released = 2. RQ = 2/0 = infinity (∞). For lactic acid fermentation: C₆H₁₂O₆ → 2C₃H₆O₃. CO₂ = 0, O₂ = 0. RQ = 0/0 = indeterminate. The high or infinite RQ is a sign of anaerobic metabolism in a tissue.
5. Why is fat a better energy storage molecule than carbohydrate?
Fat stores more energy per gram: Fat = 9 kcal/g, Carbohydrate = 4 kcal/g (fat is 2.25× more energy-dense). Fat is hydrophobic — stored without water. Glycogen (carbohydrate storage) holds ~4× its weight in water → 1g glycogen effectively stores only 1/5th the energy of 1g fat (when water included). Fat molecules (triglycerides) have long hydrocarbon chains rich in C-H bonds → fully reduced → more electrons to donate during oxidation → more ATP. Hence: body stores long-term energy as fat (adipose tissue) not as glycogen. Glycogen: short-term, quickly mobilised reserve (liver glycogen → blood glucose in minutes).
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