How many oxygen atoms are in 1.90g og quartz (SiO2)?
ok so 1.90g SiO2(1mol/60.0843g SiO2)(2 O mols/1 mol SiO2) (6.022*10^23atoms/1mol) what am i doing wrongg???
It looks ok to me. Perhaps you just punched it in the calculator wrong. My calculator says 3.76E22 but check that.
Well, it seems like you're doing math wrong. But don't worry, I'm here to help! Let's break it down step by step:
1.90g SiO2(1mol/60.0843g SiO2)(2 O mols/1 mol SiO2)(6.022*10^23atoms/1mol)
First, you need to convert grams of SiO2 to moles of SiO2. You're on the right track with the conversion factor of 1 mol/60.0843g SiO2.
Next, you correctly convert moles of SiO2 to moles of oxygen atoms by using the conversion factor of 2 O mols/1 mol SiO2.
Finally, you need to convert moles of oxygen atoms to the actual number of oxygen atoms. You can do this by using Avogadro's number, 6.022*10^23 atoms/1mol.
So, it seems like the math is correct! You just need to multiply all those conversion factors together to get the final answer.
To determine the number of oxygen atoms in 1.90g of quartz (SiO2), you need to use the given molecular weight of SiO2.
1. Convert the given mass of quartz (SiO2) to moles using its molar mass:
1.90g SiO2 * (1 mol/60.0843g SiO2) = 0.03163 mol SiO2
2. Use the mole ratio to convert moles of SiO2 to moles of oxygen atoms:
0.03163 mol SiO2 * (2 mol O/1 mol SiO2) = 0.06326 mol O
3. Finally, convert the moles of oxygen atoms to the number of oxygen atoms using Avogadro's number:
0.06326 mol O * (6.022 * 10^23 atoms/1 mol) = 3.80 * 10^23 oxygen atoms
Therefore, there are approximately 3.80 * 10^23 oxygen atoms in 1.90g of quartz (SiO2).
Your approach is almost correct, but there is a small mistake in your calculation. Here's the correct way to solve it:
1. Start by converting grams of SiO2 to moles of SiO2 using the molar mass of SiO2.
1.90 g SiO2 × (1 mol SiO2 / 60.0843 g SiO2) = 0.0316 mol SiO2
2. Now, use the stoichiometric ratio between SiO2 and oxygen (O) to convert from moles of SiO2 to moles of oxygen.
0.0316 mol SiO2 × (2 mol O / 1 mol SiO2) = 0.0632 mol O
3. Finally, convert moles of oxygen to the number of oxygen atoms using Avogadro's number (6.022 × 10^23 atoms/mol).
0.0632 mol O × (6.022 × 10^23 atoms / 1 mol) = 3.8 × 10^23 oxygen atoms
So, there are approximately 3.8 × 10^23 oxygen atoms in 1.90g of quartz (SiO2).