A 500-L rigid tank A shown in the figure below, contains argon gas at \( 300 kPa \) and \( 30^{\circ} C \). Cylinder B, having a frictionless piston of such mass that a pressure of \( 100 kPa \) will float it, is initially empty. The valve is slowly opened, and argon flows into \( B \) and eventually reaches a uniform state of \( 100 kPa \) and \( 30^{\circ} C \) throughout. What is the work done by the argon during this process? Assume argon to be an ideal gas.
(a) \( 100 kJ \)
(b) \( 200 kJ \)
(c) \( 164.79 kJ \)
(d) 0
