Solve the all parts of given question:

Question: Three moles of argon gas (assumed to be an ideal gas) originally at a pressure of 1.50 × 10⁴ Pa and a volume of 3.00 × 10²m³ are first heated and expanded at constant pressure to a volume of 4.10×10²m³, then heated at constant volume until the pressure reaches 3.50 × 10⁴ Pa, then cooled and compressed at constant pressure until the volume is again 3.00×102 m3, and finally cooled at constant volume until the pressure drops to its original value of 1.50 × 10⁴ Pa.

Part I: Calculate the total work done by the gas during the cycle.

Part II: Calculate the net heat exchanged with the surroundings.

Part III: Does the gas gain or lose heat overall?

Please show your results in detailed calculations.