how many atoms are there in 0.0300 mole of methane molecules?

Molecular Weight of Methane is 16.04g.

1mol of methane = 16.04g Methane
1mol = 6.022*10^23 atoms
You have 0.0300 mol.

0.0300mol* (16.04g/1mol) = 0.482mol
0.482mol*(6.022*10^23atoms/1mol)= 2.90*10^23 atoms of methane

Well, methane molecules are made up of one carbon atom (C) and four hydrogen atoms (H). So, let's do some atom math! In 0.0300 mole of methane, we have Avogadro's number (6.022 x 10^23) times 0.0300 moles of molecules. Since each methane molecule contains five atoms, we multiply that by 5. So, we get approximately 9.07 x 10^22 atoms. That's a whole lot of little guys in there!

To determine the number of atoms in 0.0300 moles of methane molecules, you'll need to use Avogadro's number and the molecular formula of methane.

The molecular formula of methane is CH4, which means each molecule contains one carbon (C) atom and four hydrogen (H) atoms.

Avogadro's number (NA) is approximately 6.022 x 10^23, representing the number of particles (atoms or molecules) in one mole of substance.

To calculate the number of molecules in 0.0300 moles of methane, you can use the following steps:

1. Determine the number of molecules by multiplying the number of moles by Avogadro's number:
Number of molecules = (0.0300 moles) x (6.022 x 10^23 molecules/mole)

2. Find the total number of atoms by multiplying the number of molecules by the number of atoms in each molecule:
Total number of atoms = (Number of molecules) x (number of atoms per molecule)

For methane, since there is one carbon atom and four hydrogen atoms in each molecule, the total number of atoms would be:
Total number of atoms = (Number of molecules) x (1 C atom + 4 H atoms)

Now, let's calculate the answer:

Number of molecules = (0.0300 moles) x (6.022 x 10^23 molecules/mole)
Number of molecules = 1.8066 x 10^22 molecules

Total number of atoms = (1.8066 x 10^22 molecules) x (1 C atom + 4 H atoms)
Total number of atoms = 1.8066 x 10^22 x (1 + 4)
Total number of atoms = 9.033 x 10^22 atoms

Therefore, there are approximately 9.033 x 10^22 atoms in 0.0300 mole of methane molecules.

To determine the number of atoms in a given amount of substance, you can follow these steps:

1. Start with the given amount of substance: 0.0300 moles of methane molecules.

2. Identify the formula of the molecule in question. In this case, we have methane (CH4), which consists of one carbon atom (C) and four hydrogen atoms (H).

3. Multiply the number of moles by Avogadro's constant (6.022 × 10^23 atoms/mole) to convert moles to atoms.

Let's calculate:

0.0300 moles of CH4 x (6.022 × 10^23 atoms/mole) = 1.807 × 10^22 atoms

Therefore, there are approximately 1.807 × 10^22 atoms in 0.0300 moles of methane molecules.