Final answer:
To determine whether the gas in the cylinder is Nitrogen (N₂) or Oxygen (O₂), we can use the ideal gas law equation and calculate the number of moles of gas and the volume of the gas. Comparing the calculated volume to the given volume will help determine the gas.
Step-by-step explanation:
In order to determine whether the gas in the cylinder is Nitrogen (N₂) or Oxygen (O₂), we can use the ideal gas law equation: PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the ideal gas constant, and T is the temperature.
First, we need to find the number of moles of gas in the cylinder. We can use the formula: n = m/M, where m is the mass of the gas and M is the molar mass of the gas.
Next, we can calculate the volume of the gas using the ideal gas law equation. Plug in the values for pressure, temperature, number of moles, and the ideal gas constant to solve for the volume.
Comparing the calculated volume to the given volume of the cylinder will help us determine whether the gas is Nitrogen or Oxygen. If the calculated volume is close to the given volume (5.0 L), then the gas is Nitrogen. If the calculated volume is significantly different from the given volume, then the gas is Oxygen.