Work Done During Isothermal Gas Expansion

In a closed system, a gas undergoes an isothermal expansion from an initial volume of 2.0 L to a final volume of 6.0 L at a constant temperature of 300 K. The initial pressure of the gas is measured to be 4.0 atm. Calculate the work done by the gas during this expansion process. Assume that the gas follows the ideal gas law and that 1 atm = 101.3 kPa.

To calculate the work done during an isothermal expansion, use the formula:

W = -P_ext * ΔV

where W is the work done, P_ext is the external pressure, and ΔV is the change in volume.

Taking into account the conditions of the system and the behavior of the gas, what is the work done by the gas?