Upgrading thermodynamics!

A piston-cylinder device that has stops and a linear spring ( $k = 50 \text{ kN/m}$ ) as shown in the diagram above, contains $1 \text{ kg}$ of water initially at $60^{\circ} \text{ C}$ . Water is stirred by a paddle wheel while a current of $8 \text{A}$ at $50 \text{ V}$ flows for an hour through a resistor placed in the water. Cross section of piston is $1 \text{ m}^2$ , and the thickness of piston, the stops and the spring-pad are negligible. The lower stops, spring-pad and upper stops are at a height of $0.1 \text{ m}$ , $0.2 \text{ m}$ and $0.3 \text{ m}$ respectively from the base of piston-cylinder arrangement. The piston requires a minimum pressure of $300 \text{ kPa}$ to float.

The entire arrangement is adiabatic and the process is assumed to be quasi-equilibrium. In the final state, the pressure is $600 \text{ kPa}$ . Find the paddle work with appropriate sign convention (in $\text{kJ}$ ) in this process.

Refer to steam tables here.

Note: The problem solver is meant to only use the data from steam tables for noting various thermodynamic properties wherever necessary.