How many moles of oxygen (O_2) are present in 33.6 L of the gas at 1 atm and 0°C?

• A. 0.75 mol
• B. 1.25 mol
• C. 1.50 mol
• D. 1.00 mol

Answer: (B)

Verified step by step guidance

1. Identify the given information: volume (V) = 33.6 L, pressure (P) = 1 atm, temperature (T) = 0°C (which is 273 K in Kelvin).
2. Recall the Ideal Gas Law equation: \(P \times V = n \times R \times T\), where \(n\) is the number of moles, and \(R\) is the ideal gas constant.
3. Use the value of the ideal gas constant \(R = 0.0821 \frac{L \cdot atm}{mol \cdot K}\) for these units.
4. Rearrange the Ideal Gas Law to solve for \(n\): \(n = \frac{P \times V}{R \times T}\).
5. Substitute the known values into the equation and solve for \(n\) to find the number of moles of oxygen gas.