Convert 3.01 x 10^23 atoms of silicon to moles of silicon.
on my paper i have the equations
moles S = 3.01 x 10^23 atoms x 1 mole/6.022x10^23 atoms
but i'm not sure how to do this.
help?
use your calculator. Amazingly, in my head, it looks like a half a mole.
.50
To convert atoms of silicon to moles of silicon, you can use the Avogadro's number, which represents the number of particles (atoms, molecules, or ions) in one mole of a substance. The Avogadro's number is approximately 6.022 x 10^23.
In your equation, you have the correct conversion factor:
moles S = 3.01 x 10^23 atoms x 1 mole/6.022 x 10^23 atoms
To calculate the moles of silicon, you can substitute the given values into the equation:
moles S = (3.01 x 10^23 atoms) / (6.022 x 10^23 atoms/mole)
Now, divide the number of atoms by the conversion factor:
moles S = 0.5 moles
Therefore, 3.01 x 10^23 atoms of silicon is equal to 0.5 moles of silicon.
To convert atoms of silicon to moles of silicon, you need to use the Avogadro's number to relate the number of atoms to the number of moles. Avogadro's number is approximately 6.022 x 10^23 atoms per mole.
The equation you have written is correct. Here's how to use it step by step:
1. Start with the given number of atoms of silicon: 3.01 x 10^23 atoms.
2. Use the conversion factor 1 mole/6.022 x 10^23 atoms. This conversion factor comes from Avogadro's number, which states that there are 6.022 x 10^23 atoms in one mole.
3. Multiply the given number of atoms by the conversion factor:
3.01 x 10^23 atoms x (1 mole/6.022 x 10^23 atoms)
4. Note that the units of "atoms" will cancel out, leaving you with the unit of "moles" as the desired answer.
5. Perform the calculation:
(3.01 x 10^23)/(6.022 x 10^23) = 0.499 moles (rounded to three decimal places)
So, 3.01 x 10^23 atoms of silicon is approximately equal to 0.499 moles of silicon.