A 55 kg women 7.5 x 10 - 3 all off hemoglobin ( molar mass = 64,456 g/mol) in her blood. How many hemoglobin
molecules is this? What is this quantity in grams?

Respuesta :

Answer: The number of molecules of hemoglobin are [tex]4.5165\times 10^{21}[/tex] and the mass is 483.42 g

Explanation:

We are given:

Moles of hemoglobin = [tex]7.5\times 10^{-3}mol[/tex]

According to mole concept:  

1 mole of compound contains [tex]6.022\times 10^{23}[/tex] number of atoms

So, [tex]7.5\times 10^{-3}[/tex] moles of hemoglobin compound will contain = [tex]7.5\times 10^{-3}\times 6.022\times 10^{23}=4.5165\times 10^{21}[/tex] number of molecules.

To calculate the mass of hemoglobin, we use the equation:

[tex]\text{Number of moles}=\frac{\text{Given mass}}{\text{Molar mass}}[/tex]

Molar mass of hemoglobin = 64456 g/mol

Moles of hemoglobin = [tex]7.5\times 10^{-3}mol[/tex]

Putting values in above equation, we get:

[tex]7.5\times 10^{-3}mol=\frac{\text{Mass of hemoglobin}}{64456g/mol}\\\\\text{Mass of hemoglobin}=483.42g[/tex]

Hence, the number of molecules of hemoglobin are [tex]4.5165\times 10^{21}[/tex] and the mass is 483.42 g