Final answer:
To find the number of oxygen atoms in a cylinder containing 3.6 kg of oxygen gas, convert the mass to moles using the molar mass of O2 (32.00 g/mol), then multiply by Avogadro's number (6.022 x 10^23 atoms/mole), accounting for two atoms per molecule of O2, resulting in approximately 1.35 x 10^26 atoms.
Step-by-step explanation:
To calculate the number of oxygen atoms in a compressed gas cylinder containing 3.6 kg of oxygen gas, we first need to convert the mass of oxygen to moles using the molar mass of oxygen gas (O2). The molar mass of O2 is 32.00 g/mol, so we need to convert kilograms to grams:
3.6 kg * 1000 g/kg = 3600 g
Now, divide the mass of oxygen by its molar mass to find the number of moles:
3600 g / 32.00 g/mol = 112.5 moles of O2
Since each molecule of O2 contains two oxygen atoms, we multiply the number of moles by Avogadro's number (6.022 x 1023 atoms/mole) to find the total number of atoms:
112.5 moles * 2 atoms/mole * 6.022 x 1023 atoms/mole = 1.35 x 1026 oxygen atoms
Therefore, there are approximately 1.35 x 1026 oxygen atoms in the cylinder.