A cylinder contains 28.5 L of oxygen gas at a pressure of 1.8 atm and a temperature of 298 K. How much gas (in moles) is in the cylinder?

Verified step by step guidance

1. Identify the ideal gas law equation: \( PV = nRT \).
2. List the known values: Pressure \( P = 1.8 \text{ atm} \), Volume \( V = 28.5 \text{ L} \), Temperature \( T = 298 \text{ K} \), and the ideal gas constant \( R = 0.0821 \text{ L atm K}^{-1} \text{ mol}^{-1} \).
3. Rearrange the ideal gas law equation to solve for the number of moles \( n \): \( n = \frac{PV}{RT} \).
4. Substitute the known values into the rearranged equation: \( n = \frac{(1.8 \text{ atm})(28.5 \text{ L})}{(0.0821 \text{ L atm K}^{-1} \text{ mol}^{-1})(298 \text{ K})} \).
5. Calculate the value of \( n \) to find the number of moles of gas in the cylinder.