A small-sized woman has 6.4 x 10-3 moles of hemoglobin (molar mass of hemoglobin = 64, 456 g/mol) in her blood. Show your work How many hemoglobin molecules are in this person’s body?
What is the mass (g) of hemoglobin molecules in this person’s body?

412.52 g

Explanation:

64456 x 6.4 x 10^-3 = 412.5184

Tip: Look at the units and figure out the equation needed to find the answer

Explanation:

Interesting question - especially if you are afflicted by something like Leukemia where it pays to know everything you can about Hemoglobin.

Molecules

1 mole of anything has 6.02 * 10^23 in this case molecules

6.4*10^-3 moles has x number of molecules

Set up the proportion

1/6.4*10^-3   =  6.02 * 10^23 molecule / x          Cross Multiply

x = 6.4*10^-3 * 6.02 * 10^23

x = 3.853*10^21 molecules

Mass Hemoglobin

1 mol of hemoglobin is 64456 grams

6.4*10^-3 moles = x grams                                  Cross multiply

x = 64456 * 6.4*10^-3

x = 412.5 grams of hemoglobin in this woman's body.

If you are American and think in pounds, then this is roughly a pound of hemoglobin.

Considering that you need hemoglobin to carry oxygen around to various organs, it is not an awful lot. That's the miracle of the human body.

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