how many grams are there in 7.15 x 10^24 molecules of water
a) 11.88 g
b) 214.02 g
c) 0.66g
d) 1.29x10^26 g
e) 3.97x10^23 g
you have 7.15x10^24 / 6.02x10^23 = 11.88 moles of H2O
Now just convert that to grams
There are 6.02E23 molecules in 1 mole of water.
mols H2O = 7.15E24/6.02E23 = 1.19E1 = 11.9
grams = mols x molar mass = ?
Whoever gave you those choices hasn't looked at the number of significanat figures. The answer have more than allowed.
Well, let's do some calculations! First, we need to know the molar mass of water, which is approximately 18 grams per mole.
Now, to find the number of moles in 7.15 x 10^24 molecules of water, we divide this number by Avogadro's constant, which is about 6.022 x 10^23 molecules per mole.
So, 7.15 x 10^24 molecules of water divided by 6.022 x 10^23 molecules per mole gives us approximately 11.88 moles.
Next, to find the mass, we multiply the number of moles by the molar mass of water, which is 18 grams per mole.
Therefore, 11.88 moles x 18 grams per mole equals 214.02 grams.
So, the answer is letter b) 214.02 grams!
To determine the number of grams in 7.15 x 10^24 molecules of water, we need to use the molar mass of water.
The molar mass of water (H2O) is approximately 18.01528 g/mol.
To find the number of moles in 7.15 x 10^24 molecules, we divide the given value by Avogadro's number (6.022 x 10^23 molecules/mol):
Number of moles = (7.15 x 10^24 molecules) / (6.022 x 10^23 molecules/mol)
Simplifying this expression, we get:
Number of moles = 7.15 / 6.022
Now, we can calculate the number of grams using the following formula:
Number of grams = (Number of moles) x (Molar mass)
Substituting the values, we have:
Number of grams = (7.15 / 6.022) x 18.01528 g/mol
Calculating this expression, we get:
Number of grams ≈ 21.383 g
Therefore, the correct answer is:
b) 214.02 g
To find the number of grams in 7.15 x 10^24 molecules of water, you will need to use the molar mass of water, H2O.
The molar mass of water can be calculated by adding up the atomic masses of its constituent elements: hydrogen (H) and oxygen (O). The atomic mass of hydrogen is approximately 1 gram/mol, and the atomic mass of oxygen is approximately 16 grams/mol.
Since there are two hydrogen atoms and one oxygen atom in each water molecule, the molar mass of water (H2O) is:
(2 x 1 g/mol) + (1 x 16 g/mol) = 2 g/mol + 16 g/mol = 18 g/mol
This means that one mole of water weighs 18 grams.
To convert from molecules to moles, you need to divide the number of molecules by Avogadro's number, which is approximately 6.022 x 10^23 molecules/mol. In this case:
7.15 x 10^24 molecules ÷ (6.022 x 10^23 molecules/mol) = 11.88 moles
Finally, to find the number of grams, you multiply the number of moles by the molar mass of water:
11.88 moles x 18 g/mol = 214.02 grams
Therefore, the answer is option b) 214.02 g.