How do i find the number of moles of an element if the number of atoms is given?
if i have 2.7x10^24 atoms atoms of zinc, how many moles of zinc do i have?
also, how do i find the mass of 4.21x10^24 sulfur atoms?
can someone please explain how to do these and not just give an answer because these are just examples and i really want to understand how to do it.
Answer:
Use avagadro's number - states the number of atoms in 1 mole of a substance: 6.022 x 10^23
Zn: 2.7 x 10^24 / 6.022 x 10^23 = 4.48 moles
For the sulphur, again find the number of moles, then use n = m/Mr, where m = mass of sulphur (unknown), n = moles of sulphur (we will find), and Mr the atomic mass of sulphur (periodic table)
Moles of sulphur = 4.21 x 10^24 / 6.022 x 10^23 = 6.99 moles
Mass of sulphur: m = n x Mr
m = 6.99 x 32
m = 224g of sulphur.
One mole contains Avogadro's number (approximately 6.022×10^23) entities or atoms . So just divide atoms of zinc over Avagadros number and those are the moles..
1 mole = 6.02x10^23 (Avogadro's number) total atoms/molecules, etc. Thus if you have 2.7x10^24 atoms, simply divide the number of atoms by Avogadro's number, leaving you with the total # of moles of atoms. For the zinc, it's 2.7x10^24/6.02x10^23=4.485 moles of zinc.
For the sulfur, first convert to moles, then use the MW of sulfur to convert to grams.
4.21x10^24/6.02x10^23=7 moles x 32g/mole of sulfur = 224 grams.
1 mole is 6.022 * 10^23 units (be it atoms, molecules, anything). So to find how many mols of something you have if you are given the number of atoms, it is:
(atoms of what you have) * (1 mol)/(6.022*10^23 atoms) = answer
So in the case you gave, plug in atoms of zinc and you have the answer.
To find the mass of something when you are given the number of atoms, you need to do 2 conversions. First, you need to convert the number of atoms into mols, as you just did above. From there you will convert from mols to mass using the atomic weight found on the Periodic Table. The atomic weight is in grams/mol. So:
(mols of atom) * (atomic weight)/(1 mol).
You can do the whole thing in one step if you want:
(number of atoms) * (1 mol/6.022*10^23 atoms) * (atomic weight/1 mol) = mass in grams
use avogadro's number: 6.02x10^23 atoms of an element for every mole of that element.
A mole is a number, 6.02E23 ("6.02X10^23") and molecular weight is how much this many atoms of a particular substance weighs. If given a number of atoms, divide by the "mole" number and multiply the answer by the atomic weight. For example, 4.21E24 sulfur atoms weigh:
(4.21E24/6.02E23)*32 = 224 grams
since (2.7E24/6.02E23) is about 4.5, this many zinc atoms would be 4.5 moles of zinc. To figure the mass, just multiply by the atomic weight of zinc.
6.02E23 is known as "avagadro's number"
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also, how do i find the mass of 4.21x10^24 sulfur atoms?
can someone please explain how to do these and not just give an answer because these are just examples and i really want to understand how to do it.
Answer:
Use avagadro's number - states the number of atoms in 1 mole of a substance: 6.022 x 10^23
Zn: 2.7 x 10^24 / 6.022 x 10^23 = 4.48 moles
For the sulphur, again find the number of moles, then use n = m/Mr, where m = mass of sulphur (unknown), n = moles of sulphur (we will find), and Mr the atomic mass of sulphur (periodic table)
Moles of sulphur = 4.21 x 10^24 / 6.022 x 10^23 = 6.99 moles
Mass of sulphur: m = n x Mr
m = 6.99 x 32
m = 224g of sulphur.
One mole contains Avogadro's number (approximately 6.022×10^23) entities or atoms . So just divide atoms of zinc over Avagadros number and those are the moles..
1 mole = 6.02x10^23 (Avogadro's number) total atoms/molecules, etc. Thus if you have 2.7x10^24 atoms, simply divide the number of atoms by Avogadro's number, leaving you with the total # of moles of atoms. For the zinc, it's 2.7x10^24/6.02x10^23=4.485 moles of zinc.
For the sulfur, first convert to moles, then use the MW of sulfur to convert to grams.
4.21x10^24/6.02x10^23=7 moles x 32g/mole of sulfur = 224 grams.
1 mole is 6.022 * 10^23 units (be it atoms, molecules, anything). So to find how many mols of something you have if you are given the number of atoms, it is:
(atoms of what you have) * (1 mol)/(6.022*10^23 atoms) = answer
So in the case you gave, plug in atoms of zinc and you have the answer.
To find the mass of something when you are given the number of atoms, you need to do 2 conversions. First, you need to convert the number of atoms into mols, as you just did above. From there you will convert from mols to mass using the atomic weight found on the Periodic Table. The atomic weight is in grams/mol. So:
(mols of atom) * (atomic weight)/(1 mol).
You can do the whole thing in one step if you want:
(number of atoms) * (1 mol/6.022*10^23 atoms) * (atomic weight/1 mol) = mass in grams
use avogadro's number: 6.02x10^23 atoms of an element for every mole of that element.
A mole is a number, 6.02E23 ("6.02X10^23") and molecular weight is how much this many atoms of a particular substance weighs. If given a number of atoms, divide by the "mole" number and multiply the answer by the atomic weight. For example, 4.21E24 sulfur atoms weigh:
(4.21E24/6.02E23)*32 = 224 grams
since (2.7E24/6.02E23) is about 4.5, this many zinc atoms would be 4.5 moles of zinc. To figure the mass, just multiply by the atomic weight of zinc.
6.02E23 is known as "avagadro's number"
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