Calculation of number of electrons in 1.6 gram of methane
Introduction
Methane is a hydrocarbon with the chemical formula CH4. It is the main component of natural gas and is widely used as a fuel. Methane is composed of one carbon atom and four hydrogen atoms. The number of electrons in methane can be determined by calculating the number of electrons in each atom and adding them together.
Calculations
To calculate the number of electrons in 1.6 grams of methane, we need to first determine the number of moles of methane in 1.6 grams. The molar mass of methane is 16.04 g/mol.
Number of moles = mass / molar mass
Number of moles = 1.6 g / 16.04 g/mol
Number of moles = 0.0997 mol
Now, we can use Avogadro's number to calculate the number of molecules of methane in 0.0997 moles.
Number of molecules = number of moles x Avogadro's number
Number of molecules = 0.0997 mol x 6.022 x 10^23 molecules/mol
Number of molecules = 6.007 x 10^22 molecules
Next, we can calculate the number of carbon atoms and hydrogen atoms in 6.007 x 10^22 molecules of methane.
Number of carbon atoms = 6.007 x 10^22 molecules x 1 atom / molecule
Number of carbon atoms = 6.007 x 10^22 atoms
Number of hydrogen atoms = 6.007 x 10^22 molecules x 4 atoms / molecule
Number of hydrogen atoms = 2.403 x 10^23 atoms
Finally, we can calculate the total number of electrons in 1.6 grams of methane by multiplying the number of carbon atoms and hydrogen atoms by their respective number of electrons and adding them together.
Number of electrons = (number of carbon atoms x 6 electrons) + (number of hydrogen atoms x 1 electron)
Number of electrons = (6.007 x 10^22 atoms x 6 electrons) + (2.403 x 10^23 atoms x 1 electron)
Number of electrons = 3.604 x 10^23 electrons
Therefore, there are 3.604 x 10^23 electrons in 1.6 grams of methane.