The protein hemoglobin (Hb) transports O2 in mammalian blood. Each Hb can bind 4O2 molecules. The equilibrium constant for the O2-binding reaction is higher in fetal hemoglobin than in adult hemoglobin. In discussing protein oxygen-binding capacity, biochemists use a measure called the P50 value, defined as the partial pressure of oxygen at which 50% of the protein is saturated. Fetal hemoglobin has a P50 value of 19 torr, and adult hemoglobin has a P50 value of 26.8 torr. Use these data to estimate how much larger Kc is for the aqueous reaction 4O2(g)+Hb(aq)→[Hb(O2)4(aq)].

The equilibrium constant of Fetal hemoglobin is 4 times larger than that of Adult hemoglobin

Explanation:

From the question we are told that

The P50 value for Fetal hemoglobin is

The P50 value for Adult hemoglobin is

The chemical reaction for the binding process is

Considering Fetal hemoglobin

Generally the equilibrium constant is mathematically represented as

Here

=>

Considering Adult hemoglobin

Generally the equilibrium constant is mathematically represented as

=>

=>

So the ratio of the equilibrium constant of Fetal hemoglobin to that of Adult hemoglobin is mathematically represented as

=>        

=>    

So the equilibrium constant of  Fetal  hemoglobin is 4 times larger than that  of Adult hemoglobin

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