Two kilograms of water at $125\backslash$deg C is in a piston$-$cylinder assembly. The water undergoes two processes in series: $(1)$ constant$-$volume heating followed by a $(2)$ constant$-$pressure process. At the end of the constant$-$volume heating, the pressure is $600$ kPa and the water is a two$-$phase, liquid$-$vapor mixture with a quality of $80\%.$ At the end of the constant$-$pressure process, the temperature is $200\backslash$deg C$.$ Neglect kinetic and potential effects.In your Schematic $+$ Data, represent the three states involved in the process: initial state, state after process $(1)$ and state after process $(2).$a$)$ What is the initial specific volume of the system? What is its state at this point? If it is a two$-$phase mixture of liquid and vapor, solve for the quality.b$)$ Determine the work and heat transfer for each of the two processes, all in kJ