Final answer:
The molar mass of hemoglobin is 217.4 g/mol.
Step-by-step explanation:
The molar mass of hemoglobin can be determined by using the ideal gas law equation, PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature. Rearranging the equation to solve for n gives us n = PV / RT. Given the pressure, volume, and temperature in the question, we can calculate the number of moles of oxygen that combine with 1.0 g of hemoglobin. Using the molar ratio of 4:1 between hemoglobin and oxygen, we can then calculate the molar mass of hemoglobin.
Using the given information:
Pressure (P) = 743 torr
Volume (V) = 1.53 mL
Temperature (T) = 37 °C = 310.15 K
The molar ratio of hemoglobin to oxygen = 1:4
Using the ideal gas law equation, n = PV / RT:
n = (743 torr * 1.53 mL) / (62.36 torr/mol·K * 310.15 K) = 0.0182 mol
Since one molecule of hemoglobin combines with four molecules of oxygen, the number of moles of hemoglobin is 0.0182 mol / 4 = 0.0046 mol.
Now, we can calculate the molar mass of hemoglobin by dividing the mass of hemoglobin (1.0 g) by the number of moles of hemoglobin:
Molar mass = 1.0 g / 0.0046 mol = 217.4 g/mol.