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How many molecules of H2O are there in 1.0 g of H2O?

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in 1.0 grams of H2O. okay so.. You are given grams (mass). To go from mass to molecules, you have to convert: Mass -> Moles -> Molecules. To go from mass to moles, Divide by the molecular weight. To go from moles to molecules, multiply by 6.02 x 10^23.
convert to moles. then use avogradro's number \(6.022 \times 10^{23}\frac{ atoms }{ mol }\)
I do not know how to do this ..

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Sure you do ;) Let's take it step by step. You are given 1 gram of H2O, and need to divide this by the molecular weight. The molecular weight can be found by adding up all the individual masses of the atoms. How many atoms of Hydrogen are in H2O? How many atoms of Oxygen are in H2O? Multiply the number of atoms of Hydrogen by the atomic mass of hydrogen. Multiply the number of atoms of Oxygen by the atomic mass of oxygen. Add these two values together, what do you get?
2 atoms in Hydrogen and 1 atom of Oxygen. atomic mass of hydrogen is 1 2*1=1 atomic mass of oxygen is 15.9994 15.994*1=15.9994 Added together is 16.9994
Do you have it now? Or do you still need help?
I don't know if 16.9994 is the answer?
Hang on. I'll figure it out
Okay thank you
No. Obviously no. It's way too small.
I have no clue what I am doing
Do you know what a mole is?
Not really
That might be your trouble. A mole of any compound or element is the molecular weight in grams. So if you had a scale and wanted to weigh out a mole of water, you would weigh out 18 g because 2H=2, O = 16 and the molecular weight is 18
Do you understand that?
No, I am so sorry
Do you know how to find molecular weight?
I looked it up online
So I take that to be a yes?
Do you have a periodic table?
I looked up the weight online. and I do, yes
Find the molecular weight of HCl
So a mole of HCl is 36.46094 grams.
Now here is the next important point: a mole of "stuff" has 6.023 x 10^23 molecules in it.
That's Avagadro's number. That is something you cannot reason out you have to learn it.
So lets say I have some carbon. A mole of carbon is 12 grams. I have 24 grams. How many moles is that?
Yes. Good. Now remember each mole is 6.023 x 10^23 molecules so how many molecules of carbon do I have?
I suppose I do not understand how 6.023 X 10^23 works because if there are 2 moles how exactly do I work that in?
If you have 1 mole of "stuff", you have exactly 6.023 x 10^23 molecules. If you have 2 moles of stuff, you would multiply Avogadro's number by 2.
Would you agree that 2 moles is twice as much as 1 mole and so I should multiply by 2?
And \[2(6.023 \times 10^{23)}=12.046 \times 10^{23}\]
So that is the number of molecules in 2 moles of carbon.
Ok. dimensionx will help you now. Too many cooks.
so we aren't really solving the entire equation because when I did that I had a ginormous number
@Mertsj sorry didn't mean to tread on you xD blahhhh, We are taking it step-by-step ;)
So we know that we have 2 Hydrogens and 1 Oxygen. 2 x Hydrogen 1 x Oxygen 2 x (1) = 2 1 x (16) = 16 Total Molecular Weight = 18
Do you understand how I got this value?
So why isn't this problem done yet?
because I do know how to apply this... I am thinking at 18 is the answer. I am sorry It is just not clicking.
18 grams is 1 mole of water. How many moles is 9 grams of water?
That would be 9/18 right?
How many moles is 3 grams of water?
Just tell me the fraction.
50 g
I think I see a pattern here: I will draw it because I want you to see it too.
Do you see the pattern?
How many moles is 1 g water?
Very good.
Now we know we have 1/18 mole of water and each mole has 6.023 x 10^23 molecules. So we should multiply 1/18 by 6.023 x 10^23 to find how many molecules we have.
What do you get?
hang on
my calculator says 0
I am not getting those numbers..
Type 6.023 divided by 18 equals
Did you get .334611111111 ??
That has to be multiplied by 10^23 but that is WAAAAAAY to many zeros so we we just write it: \[.33461111 \times 10^{23}\]
However we have two problems. 1. That is too many significant digits 2. It is not in scientific notation.
So we will round it to .33 So now we have: \[.33 \times 10^{23}\]
But that is still not scientific notation so we will change the .33 to 3.3 but that means we have to change the exponent to 22: \[3.3 \times 10^{22}\]
Oh! that mas sense
Excellent. Now. You can do these problems without really understanding them if you know or can find the right conversion factors and just set it up so that the units turn out right. Do you care to see that?
Of course!
Start with what is given: 1 g water
\[1 gram water \times \frac{1 mole water}{18g water} \times \frac{6.023 x 10^{23}molecules}{1 mole water}\]
Notice how the units cancel just like numbers and you end up with the number of molecules which is just what the problem asked for.
So if the units come out right, you know you have the numbers right.
so that would translate to 1 x 18/18= 1 x 6.023x10^23/18?
yes. multiply all the numerators and divide by all the denominators.
But the powers of 10...just leave that til the end.
when I did that I got a massive number..since I already knew it 3.3x10^22 it made sense how do I figure it out when there is no decimal?
The exponent 22 means move the decimal point 22 places to the right. That's why we use scientific notation. Who wants to mess with all those zeros?
right, it is like I get it for a second then it all goes away. when I did it using the formula you gave canceling everything out I just got a massive number 334111111111...
Exactly. You can enter it into your calculator if you use the EE button to enter the exponent. At least that's the way it is on my calculator. I enter 6.023 EE23 and then it manages the exponents and scientific thing for me.
Oh I get it! .... so when it is a .xy number you move the decimal and it becomes x.y^22 instead of ^23. and if it turns out a x.y number it stays ^23?
OH MY GOD YOU ARE POSITIVELY AMAZING AND YOU HAVE NO IDEA HOW MUCH I APPRECIATE YOUR TIME AND PATIENCE! In the future if I come across a problem like this I would like to run it by you so you check it? Or any other problems that threaten a brain aneurysm lol
Glad to be of service. Remember Jesus said, "Whoever would be great among you, let him be your servant."
Beautiful. I wouldn't want to call you a servant but, I love to learn from those who know more than I do.
Me too.

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