1. Use the Ideal Gas Law:
The Ideal Gas Law states: PV = nRT
* P = Pressure (atm)
* V = Volume (L)
* n = Number of moles
* R = Ideal gas constant (0.0821 L·atm/mol·K)
* T = Temperature (K)
2. STP Conditions:
* Standard Temperature and Pressure (STP) is defined as 0°C (273.15 K) and 1 atm.
3. Solve for Moles (n):
* Rearrange the Ideal Gas Law to solve for n: n = PV / RT
* Plug in the values: n = (1 atm)(9.1 L) / (0.0821 L·atm/mol·K)(273.15 K)
* Calculate: n ≈ 0.406 moles of oxygen
4. Convert Moles to Molecules:
* Use Avogadro's number (6.022 x 10^23 molecules/mol) to convert moles to molecules:
* 0.406 mol O2 x (6.022 x 10^23 molecules/mol) ≈ 2.44 x 10^23 molecules of oxygen
Therefore, there are approximately 2.44 x 10^23 oxygen molecules in 9.1 L of gas at STP.