The Molar mass of hemoglobin will be 67992 g/mol.
According to the relation between Pressure, volume and temperature, the equation is given as:
PV = nRT ... (1)
Where "P" signifies pressure, "V" signifies volume, "R" signifies gas constant, "T" signifies temperature and "n" signifies number of moles.
P = 743/760 = 0.987 atm
T = 273 + 37 = 310 K
R = 0.08206 L⋅atm/mol⋅K
Substituting the values of pressure and temperature in equation (1), we get:
n = [0.987 * 1.99* 10^(-3)] / (0.08206 * 310)
n = [7.65 * 10^(-5)] moles of oxygen
Since, Number of moles of hemoglobin is one fourth of moles of oxygen. This implies that,
number of moles of hemoglobin = (1/4) * [7.65 * 10^(-5)]
number of moles of hemoglobin = 1.912 * 10^(-5) moles
Molar mass of hemoglobin is equal to weight of hemoglobin divided by number of moles of hemoglobin
Molar mass of hemoglobin = 1.30 / [1.912 * 10^(-5)] g/mol
Molar mass of hemoglobin = 67992 g/mol
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