how many atoms are in 5L of CO2 at STP?
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.
To determine the number of atoms in 5 liters of CO2 at STP (Standard Temperature and Pressure), we need to use the ideal gas law equation and Avogadro's number.
1. Convert the volume to cubic meters:
1 liter = 0.001 cubic meters
5 liters = 5 * 0.001 = 0.005 cubic meters
2. Use the ideal gas law equation: PV = nRT
P = pressure (at STP = 1 atmosphere)
V = volume (in cubic meters)
n = number of moles
R = ideal gas constant (0.0821 L·atm/mol·K or 8.314 J/(mol·K))
T = temperature (at STP = 273 K)
3. Rearrange the equation to solve for the number of moles:
n = PV / RT
Plugging in the values:
n = (1 atm) * (0.005 m³) / (0.0821 L·atm/mol·K * 273 K)
n = 0.005 m³ / (22.414 L/mol)
4. Convert the moles to atoms using Avogadro's number:
1 mole = 6.022 x 10^23 atoms
So, if we have "n" moles, we have "n * (6.022 x 10^23)" atoms.
n = 0.005 m³ / (22.414 L/mol)
n = 0.005 m³ * (1000 L/1 m³) / (22.414 L/mol)
n = 0.2236 mol
Number of atoms = 0.2236 mol * (6.022 x 10^23 atoms/mol)
Number of atoms = 1.345 x 10^23 atoms
Therefore, there are approximately 1.345 x 10^23 atoms in 5 liters of CO2 at STP.