Answer:To determine the number of atoms in 284 grams of methane gas (CH4), we need to use the molar mass of CH4 and Avogadro's number.The molar mass of CH4 is 12.01 + 4(1.01) = 16.05 g/mol.Avogadro's number is the number of particles (atoms, molecules, etc.) in one mole of a substance, and is equal to 6.022 x 10^23 particles/mol.To calculate the number of atoms in 284 grams of CH4, we can use the following steps:Convert the mass of CH4 to moles:Number of moles = Mass / Molar mass
Number of moles = 284 g / 16.05 g/mol = 17.68 molCalculate the number of atoms using Avogadro's number:Number of atoms = Number of moles x Avogadro's number
Number of atoms = 17.68 mol x 6.022 x 10^23 atoms/mol = 1.064 x 10^25 atomsTherefore, there are approximately 1.064 x 10^25 atoms in 284 grams of methane gas (CH4)
Step-by-step explanation: