Hemoglobin is the protein that transports o2 through the blood from the lungs to the rest of the body. in doing so, each molecule of hemoglobin combines with four molecules of o2. if 1.00 g of hemoglobin combines with 1.53 ml of o2 at 37°c and 743 torr, what is the molar mass of hemoglobin?

Respuesta :

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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