To find the volume of 5.8 x 1023 molecules of CH4, we need to know the molecular weight of CH4 and the molar volume of gas at standard temperature and pressure (STP).
Steps:
Determine the molecular weight of CH4:
CH4 molecular weight = 12.01 g/mol + 4 * 1.01 g/mol = 16.04 g/mol
Calculate the number of moles of CH4:
5.8 x 1023 molecules / Avogadro's number (6.02 x 1023 mol-1) = 0.0963 moles
Determine the molar volume of gas at STP:
molar volume at STP = 22.4 L/mol
Calculate the volume in liters:
0.0963 moles * 22.4 L/mol = 2.14 L
So, the volume of 5.8 x 1023 molecules of CH4 is 2.14 L