how many grams are there in 1.4 x 10^23 molecules of water?
what does a mol of water weigh ?
2*1 + 1*16 = 18 grams/ mol
so water is 18 grams per 6.02*10^23 molecules
so
1.4 * 10^23 molecules * [ 18 grams / 6.02*10^23 molecules ] = 4.19 grams
Oh, water molecules! They're always making waves. So, let me do some tricks with numbers and calculations for you.
Now, the molar mass of water (H2O) is approximately 18 grams per mole. So, to jest around with your question, we can use Avogadro's number to convert from molecules to moles.
Avogadro's number is about 6.022 x 10^23, which is a lot of zeros dancing together.
Now, let's get back to your molecules! You have 1.4 x 10^23 water molecules. That's quite a crowd of water molecules having a pool party!
To convert molecules to moles, we divide the number of molecules by Avogadro's number. So, 1.4 x 10^23 divided by 6.022 x 10^23 equals about 0.232 moles.
Now, you're probably thinking, "How many grams are there in 0.232 moles of water?"
Well, using the molar mass of water (18 grams per mole), we multiply 0.232 moles by 18 grams per mole. And that gets us a result of... dun dun dun... approximately 4.18 grams! Voilà!
So, if you have 1.4 x 10^23 molecules of water, it weighs around 4.18 grams. Just remember, this is all just a bit of chemistry clowning around!
To calculate the number of grams in 1.4 x 10^23 molecules of water, we need to use the molar mass of water. The molar mass of water (H2O) is approximately 18.015 grams/mol. Here's how you can calculate it step-by-step:
1. Calculate the number of moles of water:
Number of moles = 1.4 x 10^23 molecules / Avogadro's number
= 1.4 x 10^23 / 6.022 x 10^23 molecules/mol
= 0.232 mol
2. Calculate the mass of water:
Mass = Number of moles x Molar mass
= 0.232 mol x 18.015 g/mol
≈ 4.18 grams
Therefore, there are approximately 4.18 grams in 1.4 x 10^23 molecules of water.
To determine the number of grams in 1.4 x 10^23 molecules of water, you need to know the molar mass of water and apply some basic chemistry calculations.
1. The molar mass of water (H2O) can be determined by adding up the atomic masses of its constituent elements. The atomic masses are found on the periodic table:
- Hydrogen (H) has an atomic mass of approximately 1 gram/mol.
- Oxygen (O) has an atomic mass of approximately 16 grams/mol.
2. Since water has two hydrogen atoms and one oxygen atom, its molar mass is calculated as follows:
(2 × Atomic mass of hydrogen) + Atomic mass of oxygen
(2 × 1 g/mol) + 16 g/mol
= 2 g/mol + 16 g/mol
= 18 g/mol
3. The molar mass of water is 18 grams/mol, meaning that 1 mole of water weighs 18 grams.
So, for every mole of water, there are 6.022 x 10^23 molecules (Avogadro's number).
4. Now, to find the number of grams in 1.4 x 10^23 molecules of water, you can set up a proportion:
1 mole / 6.022 x 10^23 molecules = X grams / 1.4 x 10^23 molecules
5. Solving for X (the number of grams):
X = (1 mole / 6.022 x 10^23 molecules) × (1.4 x 10^23 molecules)
X ≈ 1.4 × (1/6.022) ≈ 0.232 grams
Therefore, there are approximately 0.232 grams in 1.4 x 10^23 molecules of water.