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how many atoms are in 5L of CO2 at STP?
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GPT 3.5
To determine the number of atoms in 5 liters of CO2 at Standard Temperature and Pressure (STP), we first need to convert the volume to the number of moles using the ideal gas law equation.
At STP, 1 mole of gas occupies 22.4 liters.
Therefore, the number of moles of CO2 in 5 liters can be calculated as:
5 L / 22.4 L/mol ≈ 0.2232 mol of CO2
Next, we can use Avogadro's number to convert the moles to the number of atoms.
Avogadro's number (6.022 x 10^23) represents the number of particles (atoms/molecules) in one mole of a substance.
So, the number of CO2 molecules in 0.2232 moles can be calculated as:
0.2232 mol * (6.022 x 10^23 molecules/mol) ≈ 1.34 x 10^23 molecules of CO2
However, since each CO2 molecule contains 3 atoms (1 carbon + 2 oxygen), we can multiply the number of molecules by 3 to calculate the total number of atoms:
1.34 x 10^23 molecules * 3 atoms/molecule = 4.02 x 10^23 atoms of CO2
Therefore, there are approximately 4.02 x 10^23 atoms in 5 liters of CO2 at STP.
At STP, 1 mole of gas occupies 22.4 liters.
Therefore, the number of moles of CO2 in 5 liters can be calculated as:
5 L / 22.4 L/mol ≈ 0.2232 mol of CO2
Next, we can use Avogadro's number to convert the moles to the number of atoms.
Avogadro's number (6.022 x 10^23) represents the number of particles (atoms/molecules) in one mole of a substance.
So, the number of CO2 molecules in 0.2232 moles can be calculated as:
0.2232 mol * (6.022 x 10^23 molecules/mol) ≈ 1.34 x 10^23 molecules of CO2
However, since each CO2 molecule contains 3 atoms (1 carbon + 2 oxygen), we can multiply the number of molecules by 3 to calculate the total number of atoms:
1.34 x 10^23 molecules * 3 atoms/molecule = 4.02 x 10^23 atoms of CO2
Therefore, there are approximately 4.02 x 10^23 atoms in 5 liters of CO2 at STP.