The molecular weight of sperm whale myoglobin is 17.8 kDa. The myoglobin content of sperm whale muscle is about 80 g ⋅ kg − 1 . In contrast, the myoglobin content of some human muscles is about 8 g ⋅ kg − 1 . Compare the amounts of O 2 bound to myoglobin in human muscle and in sperm whale muscle. Assume that the myoglobin is saturated with O 2 , and that the molecular weights of human and sperm whale myoglobin are the same. How much O 2 is bound to myoglobin in human muscle? O 2 bound in human muscle: grams of O 2 per kilogram of muscle How much O 2 is bound to myoglobin in whale muscle? O 2 bound in whale muscle: grams of O 2 per kilogram of muscle The amount of oxygen dissolved in tissue water at 37 ° C is about 3.5 × 10 − 5 M . What is the ratio of myoglobin‑bound oxygen to dissolved oxygen in the tissue water of sperm whale muscle? ratio of bound oxygen to dissolved oxygen

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Answer:

The amount of O2 bound to myoglobin in whale sperm muscle is greater than that in human muscle.

O2 bound in human muscle is 0.0144 gram of O2 per kilogram of muscle.

O2 bound in whale muscle is 0.144 gram of O2 per kilogram of muscle.

Ratio of bound oxygen to dissolved oxygen is 4114.29

Explanation:

Molecular weight of sperm whale myoglobin = Molecular weight of human myoglobin = 17.8 kDa = 17.8×1000 = 17,800 Da

1 Dalton (Da) = 1 g/mol

Therefore, MW = 17,800 g/mol

Myoglobin content of human muscle = 8 g/kg

Amount of O2 bound to myoglobin in human muscle = mass ÷ MW = 8 g/kg ÷ 17,800 g/mol = 0.00045 mol/kg

Myoglobin content of whale sperm muscle = 80 g/kg

Amount of O2 bound to myoglobin in whale sperm muscle = mass ÷ MW = 80 g/kg ÷ 17,800 g/mol = 0.0045 mol/kg

The amount of O2 bound to myoglobin in whale sperm muscle (0.0045 mol/kg) is greater than that in human muscle (0.00045 mol/kg) by a factor of 10 (0.0045/0.00045 = 10)

O2 bound in human muscle = 0.00045 mol/kg × 32 grams/1 mol = 0.0144 gram of O2 per kg of muscle

O2 bound in whale muscle = 0.0045 mol/kg × 32 grams/1 mol = 0.144 gram of O2 per kg of muscle

Ratio of bound oxygen to dissolved oxygen of sperm whale muscle = 0.144 ÷ 3.5×10^-5 = 4114.29