a sample of methane contain 4.5x10 the power of24 h atom.calculate the mass methane
mols H atoms = 4.5E24/6.02E23 = ?
mols CH4 = 1/4 that number
g CH4 = mols x molar mass
29.9g
To calculate the mass of methane, we need to know the atomic mass of hydrogen (H) and carbon (C). The molecular formula of methane is CH4, indicating that it has one carbon atom and four hydrogen atoms.
The atomic mass of hydrogen (H) is approximately 1.008 g/mol, and the atomic mass of carbon (C) is approximately 12.01 g/mol.
Given that the sample of methane contains 4.5 x 10^24 H atoms, we can calculate the mass of hydrogen in the sample as follows:
Mass of hydrogen = (Number of H atoms) x (Atomic mass of H)
= (4.5 x 10^24) x (1.008 g/mol)
Next, we need to calculate the mass of carbon in the sample. Since there is only one carbon atom in methane, the calculation is straightforward:
Mass of carbon = (Atomic mass of C) = (12.01 g/mol)
To find the total mass of methane, we add the masses of hydrogen and carbon:
Total mass of methane = Mass of carbon + Mass of hydrogen
Therefore, the equation becomes:
Total mass of methane = (12.01 g/mol) + (4.5 x 10^24) x (1.008 g/mol)
Performing the calculation will give you the mass of methane in grams.