Mass of 48.176 * 10raze to power 23 molecules of CH4 will be
To find the mass of a given number of molecules of CH4 (methane), you will need to know the molar mass of CH4 and use it in the following calculations:
1. Find the molar mass of CH4:
- The molar mass of carbon (C) is approximately 12.01 g/mol.
- The molar mass of hydrogen (H) is approximately 1.01 g/mol.
- Methane (CH4) consists of one carbon atom and four hydrogen atoms, so the molar mass of CH4 is:
Molar mass of CH4 = (1 * molar mass of carbon) + (4 * molar mass of hydrogen)
2. Convert the given number of molecules of CH4 to moles:
- Avogadro's number states that 1 mole of any substance contains approximately 6.022 * 10^23 molecules. Therefore, to convert molecules to moles, divide the given number of molecules by Avogadro's number:
Moles of CH4 = Number of molecules / Avogadro's number
3. Calculate the mass of CH4:
- Now that you have the number of moles of CH4, multiply it by the molar mass of CH4 to find the mass:
Mass of CH4 = Moles of CH4 * Molar mass of CH4
Let's perform the calculations:
Molar mass of carbon (C) = 12.01 g/mol
Molar mass of hydrogen (H) = 1.01 g/mol
Molar mass of CH4 = (1 * 12.01 g/mol) + (4 * 1.01 g/mol) = 16.05 g/mol
Number of molecules of CH4 = 48.176 * 10^23 molecules
Moles of CH4 = (48.176 * 10^23 molecules) / (6.022 * 10^23 molecules/mol) ≈ 7.994 moles
Mass of CH4 = 7.994 moles * 16.05 g/mol ≈ 128.475 g
Therefore, the mass of 48.176 * 10^23 molecules of CH4 is approximately 128.475 grams.