Final answer:
The work done by the gas during the isothermal expansion is approximately 16 J. The heat added to the gas during the process is also approximately 16 J.
Step-by-step explanation:
(a) To calculate the work done by the gas during an isothermal expansion, we can use the formula:
Work = Pressure × Change in Volume
Since the gas pressure remains constant during an isothermal process, the work done by the gas is given by:
Work = Pressure × (Final Volume - Initial Volume)
Using the given values, the work done by the gas is:
Work = (6 kPa) × (8 L - 2.66667 L)
Work ≈ 15.99998 J
(b) To find the heat added to the gas during the process, we can use the First Law of Thermodynamics:
Heat added = Change in Internal Energy + Work Done
Since the process is isothermal, the change in internal energy is zero. Therefore, the heat added to the gas is equal to the work done by the gas:
Heat added ≈ 15.99998 J.