Hi, I am stop on a question that I need to use conversions for. Could someone explain to me how to do this?
How many grams of SO3 could be formed from 1.2 x 10^22 atoms of O?
Technically, none because you ALSO need S. :-).
You have 1.2 x 10^22 atoms of O. How many moles is that? Since there are 6.022 x 10^23 atoms in a mole, we must have
1.2 x 10^22/6.02 x 10^22 = about 0.02 moles O. How many moles S must we have? That will be 1/3 x 0.02 = 0.0067
Grams SO3 in 0.0067 moles SO3 is moles x molar mass or about 0.53 grams. You should go through, check all of my work, and use atomic masses and molar masses that you pick from the periodic table.
My teacher taught me any of that o.o
Then you didn't need any of this? If not, wasted your time and mine.
Certainly! To solve this problem, we need to use mole-to-mole conversions.
Step 1: Convert the number of atoms of O to moles of O.
To do this, we use Avogadro's number, which states that there are 6.022 x 10^23 atoms in one mole of any substance.
Given:
Number of atoms of O = 1.2 x 10^22 atoms
Conversion:
1 mole of O = 6.022 x 10^23 atoms of O
Therefore,
(1.2 x 10^22 atoms of O) * (1 mole of O / 6.022 x 10^23 atoms of O) = moles of O
Step 2: Use the balanced chemical equation to determine the mole ratio between O and SO3.
The balanced chemical equation for the formation of SO3 is:
2 SO2 + O2 -> 2 SO3
From the equation, we can see that for every 1 mole of O2, we form 2 moles of SO3.
Step 3: Convert the moles of O to moles of SO3 using the mole ratio obtained from the balanced chemical equation.
Given:
Moles of O = obtained from step 1
Conversion:
1 mole of O2 = 2 moles of SO3
Therefore,
(moles of O) * (2 moles of SO3 / 1 mole of O2) = moles of SO3
Step 4: Convert moles of SO3 to grams of SO3.
Given:
Moles of SO3 = obtained from step 3
To convert moles of SO3 to grams of SO3, we need to use the molar mass of SO3. The molar mass of SO3 is calculated by adding the atomic masses of sulfur and three oxygens.
Molar mass of SO3 = (atomic mass of S) + (3 * atomic mass of O)
Finally,
Grams of SO3 = (moles of SO3) * (molar mass of SO3)
By following these steps, you should be able to determine the number of grams of SO3 that can be formed from 1.2 x 10^22 atoms of O.