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One 55 -gram serving of a particular cereal supplies 270 $\mathrm{mg}$ of sodium, 11$\%$ of the recommended daily allowance. How many moles and atoms of sodium are in the recommended daily allowance?
0.107 $\mathrm{mol} \mathrm{Na}$$6.43 \times 10^{23} \mathrm{atoms} \mathrm{Na}$
Chemistry 102
Chemistry 101
Chapter 3
Composition of Substances and Solutions
Solutions
Composition
Carleton College
University of Maryland - University College
University of Kentucky
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this probably of the 55 grams serving of a bit of a particular cereal. In this case, it doesn't really matter how much. Surely we have, we are only looking at how many milligrams of sodium we're looking at. So if I have 270 milligrams of an A, this is 11% of our daily allowance. Okay, So percent is equal to part over hold times 100. So this means 11 is equal to 270 over X. Times 100 x will give us our hold. Daily allowance, um, in milligrams. And then once we have that, we will be able to convert to moles and Adam. So I go ahead. And my calculator 11 divided by 100 and that gives me point 11 equals 270 over X. Multiply both sides by X, and then what I'm gonna do is take to 70. Divide about 700.11 and that gives me 245. 32,454 0.5 kilograms. Now, when I'm going to do is convert that to moles and Teoh Adams. So 2450. We're 0.5 milligrams. First, I need to convert that two grams for everyone. Ram. There's 1000 milligrams. Then I can go ahead and find the molar mass of sodium. So in this case, the more massive sodium is 23.11 grams per one mole. I put grams on the bottom that week. The Graham unit can cancel and I am left with bulls. Well, now I go ahead and put that into my calculator to 2454.5, divided by 1000 and then divided by 23.11 And the number of moles me get is 0.10 Nothing. Now I can take this and convert this into Adams went 017 Moles of N A. I just use of a God rose number for everyone more. There's 6.0 to 2 times 10 to the 23rd Adams up. Sorry. That's what's up on the top for everyone Mall there 6.0 to 2 times 10 to the 23rd Adams. Now I can go ahead and multiply 0.107 times of a god. Rose number. Enter that into your calculator and what you get is 6.43 times 10 to the 23rd Adams sodium.
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