How many moles of H2O are in 3.00L of water? (d=1.00g/mL)
(3.0L H20)(1000g/L)(1 mol/18g)
= 166.7 mol H2O
How many grams? That's mass = volume x density. Substitute and solve for grams. Then mols = grams/molar mass.
Well, it looks like you're trying to calculate the number of moles in a given volume of water. But before we dive in, let me tell you a joke: Why was the math book sad? Because it had too many problems!
Now, let's get back to your question. To find the number of moles, we need to use Avogadro's number, which is approximately 6.022 x 10^23. But first, we need to determine the mass of the water in your given volume.
Since the density of water is 1.00 g/mL, we can say that 1.00 mL of water weighs 1.00 gram. Therefore, 3.00 liters (or 3000 mL) of water would weigh 3000 grams.
Now, we can convert the mass of water into moles. The molar mass of water is approximately 18 g/mol (2 hydrogen atoms with a molar mass of 1 g/mol each and 1 oxygen atom with a molar mass of 16 g/mol).
Using the formula: moles = mass / molar mass, we can calculate the number of moles:
moles = 3000g / 18 g/mol ≈ 166.67 moles
So, approximately 166.67 moles of water are in 3.00 liters. That's enough water to make even the thirstiest camel jealous!
To find the number of moles of H2O in 3.00L of water, you need to know the molar mass of water (H2O) and convert the given volume of water to the corresponding mass.
The molar mass of water (H2O) can be calculated by adding the atomic masses of hydrogen (H) and oxygen (O). The atomic mass of hydrogen is approximately 1.008 g/mol, and the atomic mass of oxygen is approximately 15.999 g/mol.
Molar mass of water (H2O) = 2(atomic mass of hydrogen) + atomic mass of oxygen
= 2(1.008 g/mol) + 15.999 g/mol
= 18.015 g/mol
Knowing the density of water (d = 1.00 g/mL), you can calculate the mass of 3.00L of water using the equation:
Mass = density × volume
Mass of 3.00L of water = 1.00 g/mL × 3.00 L
= 3.00 g
Now that you know the mass of 3.00L of water (3.00 g) and the molar mass of water (18.015 g/mol), you can calculate the number of moles using the equation:
Moles = mass / molar mass
Number of moles of H2O = 3.00 g / 18.015 g/mol
Now, plug in the values into the equation:
Number of moles of H2O = 0.1667 mol
Therefore, there are approximately 0.1667 moles of H2O in 3.00L of water.