Question

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 1.30 g of hemoglobin combines with 1.99 mL of O2 at 37°C and 736 torr, what is the molar mass of hemoglobin?

Answer 1

Molar Mass of hemoglobin is
`67992`g/mol

Step-by-step explanation:

As we know that

`PV = nRT`

Where "P" signifies pressure, "V" signifies volume, "R" signifies gas constant, "T" signifies temperature and "n" signifies number of moles.

`P = 743 / 760 = 0.978` atm

`T = 37 + 273 = 310` K

Substituting the given values in above equation, we get -

`n = (0.978 *  1.99 *  10^(-3))/(0.08206 * 310) \\n = 7.65 * 10^(-5)` moles of oxygen

Number of moles of hemoglobin is
`(1)/(4)` of moles of oxygen

`= (1)/(4) * 7.65 * 10^(-5)\\= 1.912 * 10^(-5)\\` moles

Molar mass of hemoglobin is equal to weight of hemoglobin divided by number of moles of hemoglobin

`= (1.30)/(1.9125 * 10^(-5)) \\= 67992` g/mol