PROJECT 6: Molecules and Moles Part I. Chamomile, a plant in the sunflower famil

Question

PROJECT 6: Molecules and Moles Part I. Chamomile, a plant in the sunflower family, has been used as a homeopathic medicine for thousands of years. It is used to treat sleep disorders, digestion conditions, cramps, skin infections, inflammation and teething pains. Chamomile, with a density of 0.91 g/mL, is a mixture of many compounds. The primary compound that is responsible for its anti-inflammatory properties is a.- bisabolol, GsH260 even though it makes up only 0.25% by weight of the chamomile. How many molecules of -bisabolol are in a 1.0 mL dose of 6x chamomile remedy? 6x means that the medicine has been diluted 1-to-10, 6 times. Part II. How many times will one mole of water drops (1.0 mL-24 drops)fill Hood Canal? Use the dimensions that, on average, Hood Canal is 1.50 miles wide, 50.0 miles long and 177 feet deep.

Explanation / Answer

For the first problem:

First we divide the mililiter of solution by the dilution factor, which will give us the correct amount of chamomille:

1.0 mL / 1,000,000th to 1 = 1 x 10-6 mL

Then, we turn that amount of volume to grams with given density:

1 x 10-6 mL * 0.91 g/mL = 9.1 x 10-7 grams

Now, we use percent weight to get amount of alpha bisabolol:

9.1 x 10-7 grams * 0.0025 = 2.275 x 10-9 grams

Then we get molar mass of the molecule:

(12 * 15) + (26 * 1) + (16) = 222 grams / mole

With that molar mass we get number of moles:

2.275 x 10-9 grams / 222 grams/mole = 1.025 x 10-11 moles

Finally we use Avogadro's number to get molecules:

1.025 x 10-11 moles * 6.022 x 1023 molecules / mole = 6.172 * 1012 molecules

For the second problem:

First we get the volume of Hood Canal:

1.50 miles = 2414.016 meters ; 50 miles = 80467.2 meters ; 177 feet = 53.9496 meters

Volume = 1.048 x 1010 m3

We turn it to mL = 1.048 x 1010 m3 * (1000 L / m3) * (1000 mL / 1L) = 1.048 x 1016 mL

Then we determine how many times a mole fills the canal

1 mol of drops = 6.022 x1023 drops

6.022 x1023 drops * (1 ml / 24 drops) = 2.51 * 1022 mL

2.51 x 1022 mL / 1.048 x 1016 mL = 2.395 x 106 times

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