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calculate the total number of electrons present in 2 gram of methane(CH4)
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Calculation of Total Number of Electrons in 2 grams of Methane (CH4)


Methane is a hydrocarbon with the chemical formula CH4. It is a colorless, odorless gas that is the primary component of natural gas. In this post, we will calculate the total number of electrons present in 2 grams of methane.


Step 1: Find the Molar Mass of Methane


The molar mass of methane can be calculated by adding up the atomic masses of carbon and hydrogen in one molecule of methane. The atomic masses of carbon and hydrogen are:



  • Carbon: 12.01 g/mol

  • Hydrogen: 1.01 g/mol



Therefore, the molar mass of methane is:


Molar mass of CH4 = (1 x 12.01 g/mol) + (4 x 1.01 g/mol) = 16.05 g/mol


Step 2: Convert Grams to Moles


We need to convert the given mass of methane from grams to moles. This can be done using the formula:


Number of moles = Mass / Molar mass


Substituting the given values, we get:


Number of moles of CH4 = 2 g / 16.05 g/mol = 0.1247 mol


Step 3: Find the Total Number of Electrons


The total number of electrons in 0.1247 moles of methane can be calculated using the Avogadro's number, which is the number of particles (atoms, molecules, or ions) in one mole of a substance. The Avogadro's number is:


6.022 x 1023 particles/mol


Therefore, the total number of electrons in 0.1247 moles of methane is:


Total number of electrons = Number of moles x Avogadro's number x Number of electrons per molecule


The number of electrons per molecule of methane is:


Number of electrons per molecule of CH4 = 4 (for the 4 hydrogen atoms) + 1 (for the carbon atom) = 5


Substituting the given values, we get:


Total number of electrons = 0.1247 mol x 6.022 x 1023 particles/mol x 5 electrons/molecule


Total number of electrons = 3.76 x 1023 electrons


Conclusion


The total number of electrons present in 2 grams of methane is 3.76 x 1023 electrons.
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