How many moles of aspartame (c14h18n2o5) are found in 40. mg. of aspartame?
Answer:
A 'mole' is a short term for 'molecule'.
First, find the Mol.mass by adding the atomic mass of each element. (C=12, H=1, N=14, O=16.
C14H18N2O5 = (12 x 14) + 18(H) + (14 x 2 ) + (16 x 5)
= 294 Mol.mass (This can be expressed in any mass unit).
= 294 mg/mole (As your mass is 40mg),
Now, Divide the mass by the mg/mole
40mg รท 294mg/mole = 0.136 moles. (The 'mg' cancel out).
First convert 40 mg to grams:
40 mg*(1g/1000mg) = 0.040 g
Then convert grams to moles using the molar mass of aspartame.
To find molar mass of aspartame : (14 x 12.0 g) + (18 x 1.01 g) + (2 x 14.0 g) + (5 x 16.0 g) = 294 g/mole.
Use the molar mass to convert:
0.040 g * (1 mol/294 g) = 0.000136 mol
To figure out the number of molecules, convert moles to molecules using Avagadro's number. I'll let you do that on your own
Good luck =)
Take the molecular weight of each element and multiply it by the corresponding numbers(14,18,2,5). Then add these individual numbers together. That gives you the total molecular weight of aspartame (X grams/mole). You then divide this by 1000 to get X mg/mole. Next you divide 40mg by Xmg/mole and you wind up with Y moles.
You really need to get a grasp of the concept of conversions. For some reason a lot of people get lost on this. Like riding a bike, once you get it it is really simple.
You need to figure out the total molecules. I can't do all your homework for you.
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