To determine the volume of a gas using the ideal gas law equation (PV = nRT), we need to convert the given temperature to Kelvin (K) and the pressure to standard units of pressure (atmosphere).
Given: Number of moles (n) = 5.89 mol Temperature (T) = 143 degrees Celsius = 143 + 273.15 = 416.15 K (converted to Kelvin) Pressure (P) = 8.24 ATM
Using the ideal gas law equation, we can solve for the volume (V):
PV = nRT
V = (nRT) / P
V = (5.89 mol * 0.0821 L·atm/(mol·K) * 416.15 K) / 8.24 ATM
V ≈ 22.9 L
Therefore, 5.89 moles of sulfur hexafluoride gas at a temperature of 143 degrees Celsius and a pressure of 8.24 ATM will occupy approximately 22.9 liters of volume.