At standard temperature (0 degrees Celsius or 273.15 Kelvin) and pressure (1 atmosphere), the ideal gas constant is approximately 0.08206 liters-atmosphere / mole-Kelvin.
Substituting the given values into the ideal gas law, we have:
V = (2.4 moles) x (0.08206 L-atm / mole-K) x (273.15 K) / (1 atm)
V = 53.03 liters
Therefore, the volume of 2.4 moles of chlorine gas at standard temperature and pressure is approximately 53.03 liters.