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  • Calculating Moles of Oxygen Gas at STP: A Step-by-Step Guide
    Here's how to solve this problem:

    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.

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