```
PV = nRT
```
where:
* P is the pressure (in atmospheres)
* V is the volume (in liters)
* n is the number of moles
* R is the ideal gas constant (0.08206 L * atm / mol * K)
* T is the temperature (in Kelvin)
Assuming standard temperature and pressure (STP), which are 0°C (273.15 K) and 1 atm, we can calculate the volume occupied by 2.4 moles of chlorine gas:
```
V = nRT/P
= 2.4 moles * 0.08206 L * atm / mol * K * 273.15 K / 1 atm
= 55.12 L
```
Therefore, 2.4 moles of chlorine gas occupy a volume of approximately 55.12 liters at STP.