Methane has one carbon and by mass there are three grams of carbon for every gram of hydrogen. How many hydrogen atoms does methane molecule have show work
g C = 3*gH
So C represents 3/4 mass methane.
H represents 1/4 mass methane3.
0.75x = 12
x = 16; mass methane is 16
1/4 *16 = 4 = mass H atoms which is 4 H atoms at 1 each.
To find the number of hydrogen atoms in a methane molecule, we first need to determine the number of moles of carbon and hydrogen in the compound.
Given:
- One carbon atom in methane
- Three grams of carbon for every gram of hydrogen
Step 1: Convert the mass of carbon to moles.
To convert grams to moles, we need to divide the given mass of carbon (3 grams) by the molar mass of carbon. The molar mass of carbon is approximately 12.01 grams/mol.
Moles of carbon = Mass of carbon / Molar mass of carbon
Moles of carbon = 3 g / 12.01 g/mol
Moles of carbon ≈ 0.2498 mol (rounded to four decimal places)
Step 2: Determine the moles of hydrogen.
Since the ratio of carbon to hydrogen is 1:3, for every 0.2498 moles of carbon, we have 3 times that amount for hydrogen.
Moles of hydrogen = Moles of carbon * 3
Moles of hydrogen ≈ 0.2498 mol H2 (rounded to four decimal places)
Step 3: Convert moles of hydrogen to atoms.
To convert moles of hydrogen to atoms, we need to multiply the number of moles by Avogadro's number, which is approximately 6.022 x 10^23 atoms/mol.
Number of hydrogen atoms = Moles of hydrogen * Avogadro's number
Number of hydrogen atoms ≈ 0.2498 mol * (6.022 x 10^23 atoms/mol)
Number of hydrogen atoms ≈ 1.502 x 10^23 atoms (rounded to three significant figures)
Therefore, a methane molecule has approximately 1.502 x 10^23 hydrogen atoms.