Consider the following data for the proteins myoglobin and hemoglobin Calculate

Question

Consider the following data for the proteins myoglobin and hemoglobin Calculate the radii of myoglobin and hemoglobin assuming they are unhydrated spheres. Calculate the radii and volumes of myoglobin and hemoglobin that would account for the frictional ratios, assuming they are hydrated spheres. For each protein, calculate delta_1 the mass of water bound per mass of protein. Assume the density of water is 1g mL^-1. Myoglobin is a oxygen storage protein found in the body tissues. Hemoglobin is an oxygen transport protein. Hemoglobin is composed of n sub-units each roughly the size of myoglobin. Based on your answers in part b, how many myoglobin-like sub-units does hemoglobin contain?

Explanation / Answer

Calculate the radii of myoglobin and hemoglobin assuming they are unhydrated spheres.

4 pie R^3   /3 =MV2 /NA

For myoglobin

= [3 MV2      / 4 pie NA )v3

= [3/ 4 pie   *     (16900 gmol_1 ) (0.74cm3 g1)   / 6.023 x 10^23)v3    =1.18 x 10^-7 cm

Haemoglobin

= [3 MV2      / 4 pie NA )v3

= [3/ 4 pie   *     (64500 gmol_1 ) (0.75cm3 g1)   / 6.023 x 10^23)v3    =2.68 x 10^-7 cm

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Calculate the radii and volumes of myoglobin and hemoglobin that would account for the frictional ratios, assuming they are hydrated spheres.

For myoglobin

R=Ro f /fo = (1.18 x 10^-9 m) (1.11) =1.31 x 10^-9 m

Vmb =4/3 * pie* R^3   = 4/3 * pie* (1.31 x 10^-9 m)^3   = 9.41 x10^-27 m3

For hemoglobin

R=Ro f /fo = (2.68 x 10^-9 m) (1.16) =1.31 x 10^-9 m

Vmb =4/3 * pie* R^3   = 4/3 * pie* (2.68 x 10^-9 m)^3   = 8.06 x10^-26 m3

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Myoglobin is a oxygen storage protein found in the body tissues. Hemoglobin is an oxygen transport protein. Hemoglobin is composed of n sub-units each roughly the size of myoglobin. Based on your answers in part b, how many myoglobinlike sub-units does hemoglobin contain?

Answer = Four

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